Bevezet\303\251s a matematik\303\241ba J\303\241rai Antal Ezek a programok csak szeml\303\251ltet\303\251sre szolg\303\241lnak.
<Text-field style="Heading 1" layout="Heading 1">1. Halmazok</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">2. Term\303\251szetes sz\303\241mok</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">3. A sz\303\241mfogalom b\305\221v\303\255t\303\251se</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">4. V\303\251ges halmazok</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">5. V\303\251gtelen halmazok</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">6. Sz\303\241melm\303\251let</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">7. Gr\303\241felm\303\251let</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">7.1. Ir\303\241ny\303\255tatlan gr\303\241fok</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.1. Ir\303\241ny\303\255tatlan gr\303\241fok.</Font></Text-field> restart; with(networks); 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 new(G1):addvertex({v1,v2,v3,v4,v5},G1); addedge([{v1,v2},{v1,v2},{v1,v4},{v3,v4},{v4,v4}],G1); edges(G1);vertices(G1); ends(e2,G1); edges({v1,v2},G1); incident(v1,G1);incident(v5,G1); neighbors(v1,G1);neighbors(v4,G1); NidJI3YxRzYiSSN2MkdGJEkjdjNHRiRJI3Y1R0YkSSN2NEdGJA== NidJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0YkSSNlNUdGJA== PCdJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0YkSSNlNUdGJA== PCdJI3YxRzYiSSN2MkdGJEkjdjNHRiRJI3Y1R0YkSSN2NEdGJA== PCRJI3YxRzYiSSN2MkdGJA== PCRJI2UxRzYiSSNlMkdGJA== PCVJI2UxRzYiSSNlMkdGJEkjZTNHRiQ= PCI= PCRJI3YyRzYiSSN2NEdGJA== PCVJI3YxRzYiSSN2M0dGJEkjdjRHRiQ= vdegree(v1,G1);vdegree(v4,G1);vdegree(v5,G1);degreeseq(G1);mindegree(G1);maxdegree(G1); IiIk IiIk IiIh NyciIiEiIiIiIiMiIiRGJg== IiIh IiIk show(G1); 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 G:=void(10):vertices(G);edges(G); addedge([{1,2},{2,3},{3,4}],names=[cica,alma,kutya],G);show(G); PCwiIiIiIiMiIiQiIiUiIiYiIiciIigiIikiIioiIzU= PCI= NiVJJWNpY2FHNiJJJWFsbWFHRiRJJmt1dHlhR0Yk 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 G:=petersen():draw(G);degreeseq(G); 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 NywiIiRGI0YjRiNGI0YjRiNGI0YjRiM= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.2. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.3. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.4. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.5. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.1.6. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.7. Gr\303\241fok izomorfi\303\241ja.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.1.8. P<Font encoding="UTF-8">\303\251ld\303\241k.</Font></Text-field> G21:=complete(5):draw(G21); NjctSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUYkNiM3JCQiK1EqcCw0JCEjNSQiK2xeYzUmKkY0LUYkNiM3JCQhK10qcCw0KUY0JCIrOUQmeShlRjQtRiQ2IzckJCErTSpwLDQpRjQkIStQRCZ5KGVGNC1GJDYjNyQkIitsKnAsNCRGNCQhK2NeYzUmKkY0LUknQ1VSVkVTR0YlNiQ3JEYqRkAtSSdDT0xPVVJHRiU2JkkkUkdCR0YoRi0kIiM1ISIiRi0tRk02JDckRjFGR0ZQLUZNNiQ3JEYqRjlGUC1JJVRFWFRHRig2JDckJCIjN0ZWRi5RIjFGKC1GaG42JDckJCIrUSpwLDQmRjRGNVEiMkYoLUZobjYkNyQkISsmKnAsNDUhIipGPFEiM0YoLUZobjYkNyQkISskKnAsNDVGaW9GQ1EiNEYoLUZobjYkNyQkIitsKnAsNCZGNEZKUSI1RigtRk02JDckRipGMUZQLUZNNiQ3JEYqRkdGUC1GTTYkNyRGMUY5RlAtRk02JDckRjFGQEZQLUZNNiQ3JEY5RkBGUC1GTTYkNyRGOUZHRlAtRk02JDckRkBGR0ZQLUkqQVhFU1NUWUxFR0YlNiNJJU5PTkVHRiU= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.9. Gr\303\241fok Descartes-szorzata.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.10. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.11. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.12. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.13. P\303\241ros gr\303\241fok.</Font></Text-field> new(G22):addvertices([H1,H2,H3,K1,K2,K3],G22);connect({H1,H2,H3},{K1,K2,K3},G22);draw(G22); NihJI0gxRzYiSSNIMkdGJEkjSDNHRiRJI0syR0YkSSNLMUdGJEkjSzNHRiQ= NitJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0YkSSNlNUdGJEkjZTZHRiRJI2U3R0YkSSNlOEdGJEkjZTlHRiQ= 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 G:=complete(3,3):draw(G); 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.14. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.15. R\303\251szgr\303\241f.</Font></Text-field> show(G); 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 delete({e4},delete({1},G)):vertices(%);edges(%%);draw(%%%); PCciIiMiIiQiIiUiIiYiIic= PCdJI2U1RzYiSSNlNkdGJEkjZTdHRiRJI2U4R0YkSSNlOUdGJA== 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 show(G1); LUkmVEFCTEVHJSpwcm90ZWN0ZWRHNiM3MS9JJl9UYWlsRzYiLUYjNiM3Ii9JLF9Db3VudHRyZWVzR0YpRi4vSSpfVmVydGljZXNHRik8J0kjdjFHRilJI3YyR0YpSSN2M0dGKUkjdjVHRilJI3Y0R0YpL0kpX1Z3ZWlnaHRHRiktRiM2JEknc3BhcnNlR0YpRiwvSStfRWRnZUluZGV4R0YpLUYjNiRJKnN5bW1ldHJpY0dGKTcmLzYkRjRGNjwjSSNlNEdGKS82JEYyRjY8I0kjZTNHRikvRjY8I0kjZTVHRikvNiRGMkYzPCRJI2UxR0YpSSNlMkdGKS9JL19FY29ubmVjdGl2aXR5R0YpRlMvSSpfRW1heG5hbWVHRikiIiYvSSZfSGVhZEdGKUYqL0kpX0V3ZWlnaHRHRiktRiM2IzcnL0ZFIiIiL0ZQRmluL0ZMRmluL0ZRRmluL0ZJRmluL0knX0VkZ2VzR0YpPCdGUEZRRklGRUZML0krX05laWdoYm9yc0dGKS1GIzYjNycvRjY8JUYyRjRGNi9GNTwiL0YzPCNGMi9GNDwjRjYvRjI8JEYzRjYvSShfU3RhdHVzR0YpPCRJK01VTFRJR1JBUEhHRilJJkxPT1BTR0YpL0kmX0VuZHNHRiktRiM2IzcnL0ZFPCRGNEY2L0ZQPCRGMkYzL0ZMRl1wL0ZRRl1xL0ZJPCRGMkY2L0kuX0JpY29tcG9uZW50c0dGKUZjcS9JK19Db3VudGN1dHNHRilGZXE= new(G3):addvertex({v1,v2,v3,v4},G3);addedge([{v1,v2},{v2,v3},{v1,v4},{v2,v4}],G3);draw(G3); NiZJI3YxRzYiSSN2MkdGJEkjdjNHRiRJI3Y0R0Yk NiZJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0Yk Ni8tSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RI3YxRigtRiQ2IzckJCErM1EuXj8hIz5GKy1GMDYkNyQkISstKysrPyEjNUYrUSN2MkYoLUYkNiM3JCRGNUYtJCErOncxLVRGPC1GMDYkNyQkISM3RjVGSFEjdjNGKC1GJDYjNyQkIitBOTVgaEY8RkctRjA2JDckJCIrMSsrKz9GQkZHUSN2NEYoLUknQ1VSVkVTR0YlNiQ3JEYqRjktSSdDT0xPVVJHRiU2JkkkUkdCR0YoRi0kIiM1RjVGLS1GZm42JDckRjlGRkZpbi1GZm42JDckRipGUkZpbi1GZm42JDckRjlGUkZpbi1JKkFYRVNTVFlMRUdGJTYjSSVOT05FR0Yl draw(complement(G3)); Ni0tSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RI3YxRigtRiQ2IzckJCErM1EuXj8hIz5GKy1GMDYkNyQkISstKysrPyEjNUYrUSN2MkYoLUYkNiM3JCRGNUYtJCErOncxLVRGPC1GMDYkNyQkISM3RjVGSFEjdjNGKC1GJDYjNyQkIitBOTVgaEY8RkctRjA2JDckJCIrMSsrKz9GQkZHUSN2NEYoLUknQ1VSVkVTR0YlNiQ3JEZGRlItSSdDT0xPVVJHRiU2JkkkUkdCR0YoRi0kIiM1RjVGLS1GZm42JDckRipGRkZpbi1JKkFYRVNTVFlMRUdGJTYjSSVOT05FR0Yl induce({v2,v3,v4},G3):draw(%); NistSSVURVhURzYiNiQ3JCQhKzArKytxISM1JCIrTlNEZycpRipRI3YzRiUtSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzckJCIiIiIiISRGN0Y3LUYkNiQ3JCQiIzchIiJGOFEjdjJGJS1GLzYjNyQkISswKysrXUYqRistRi82IzckJCErKikqKioqKipcRiokIStXU0RnJylGKi1GJDYkNyQkISsqKSoqKioqKnBGKkZKUSN2NEYlLUknQ1VSVkVTR0YwNiQ3JEY0RkItSSdDT0xPVVJHRjA2JkkkUkdCR0YlRjckIiM1Rj5GNy1GUzYkNyRGNEZHRlYtSSpBWEVTU1RZTEVHRjA2I0klTk9ORUdGMA== induce({e2,e1,e4},G3):draw(%); Ni4tSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RI3YxRigtRiQ2IzckJCErM1EuXj8hIz5GKy1GMDYkNyQkISstKysrPyEjNUYrUSN2MkYoLUYkNiM3JCRGNUYtJCErOncxLVRGPC1GMDYkNyQkISM3RjVGSFEjdjNGKC1GJDYjNyQkIitBOTVgaEY8RkctRjA2JDckJCIrMSsrKz9GQkZHUSN2NEYoLUknQ1VSVkVTR0YlNiQ3JEYqRjktSSdDT0xPVVJHRiU2JkkkUkdCR0YoRi0kIiM1RjVGLS1GZm42JDckRjlGRkZpbi1GZm42JDckRjlGUkZpbi1JKkFYRVNTVFlMRUdGJTYjSSVOT05FR0Yl LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.16. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.17. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.18. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.19. S\303\251t\303\241k, vonalak, utak, k\303\266r\303\266k.</Font></Text-field> G4:=void(9):addedge(Path(1,2,3,4,5,6,7,3,8,9,8),G4);show(G4); NixJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0YkSSNlNUdGJEkjZTZHRiRJI2U3R0YkSSNlOEdGJEkjZTlHRiRJJGUxMEdGJA== 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 G:=void(5):addedge(Cycle(1,2,3,4,5),G);draw(G); NidJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0YkSSNlNUdGJA== 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.20. \303\201ll\303\255t\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.21. \303\201ll\303\255t\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.22. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.23. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.24. \303\226sszef\303\274gg\305\221s\303\251g.</Font></Text-field> G:=random(12,6):ends(G);components(G); PCg8JCIiIyIiJDwkIiInIiIpPCRGJUYoPCQiIiVGJzwkRiQiIzU8JEYkIiM3 PCg8IyIiIjwjIiImPCMiIig8IyIiKjwjIiM2PCkiIiMiIiQiIiUiIiciIikiIzUiIzc= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.25. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.26. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.27. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.28. F\303\241k.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.29. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.30. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.31. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.32. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.33. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.34. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.1.35. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.36. Fesz\303\255t\305\221fa.</Font></Text-field> G51:=cycle(4):draw(G51); Ni8tSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RIjFGKC1GJDYjNyQkISszUS5ePyEjPkYrLUYkNiM3JCRGNUYtJCErOncxLVRGPC1GJDYjNyQkIitBOTVgaEY8RkAtSSdDVVJWRVNHRiU2JDckRipGOS1JJ0NPTE9VUkdGJTYmSSRSR0JHRihGLSQiIzVGNUYtLUZJNiQ3JEY5Rj9GTC1GSTYkNyRGKkZFRkwtRkk2JDckRj9GRUZMLUYwNiQ3JCQhKy0rKys/ISM1RitRIjJGKC1GMDYkNyQkISM3RjVGQVEiM0YoLUYwNiQ3JCQiKzErKys/RmpuRkBRIjRGKC1JKkFYRVNTVFlMRUdGJTYjSSVOT05FR0Yl G52:=void(4):addedge(Cycle(1,2,4,3),G52);draw(G52); NiZJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0Yk Ni8tSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RIjFGKC1GJDYjNyQkISszUS5ePyEjPkYrLUYkNiM3JCRGNUYtJCErOncxLVRGPC1GJDYjNyQkIitBOTVgaEY8RkAtSSdDVVJWRVNHRiU2JDckRipGOS1JJ0NPTE9VUkdGJTYmSSRSR0JHRihGLSQiIzVGNUYtLUZJNiQ3JEY5RkVGTC1GSTYkNyRGP0ZFRkwtRkk2JDckRipGP0ZMLUYwNiQ3JCQhKy0rKys/ISM1RitRIjJGKC1GMDYkNyQkISM3RjVGQVEiM0YoLUYwNiQ3JCQiKzErKys/RmpuRkBRIjRGKC1JKkFYRVNTVFlMRUdGJTYjSSVOT05FR0Yl spantree(G52):edges(%);counttrees(G52); PCVJI2UxRzYiSSNlMkdGJEkjZTRHRiQ= IiIl LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.37. \303\201ll\303\255t\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.38. \303\201ll\303\255t\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.39. Megjegyz\303\251s.</Font></Text-field> G6:=tetrahedron():show(G);cyclebase(G6);draw(G6); 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 PCU8JUkjZTJHNiJJI2UzR0YlSSNlNkdGJTwmSSNlMUdGJUYmSSNlNEdGJUYnPCVGKUYmSSNlNUdGJQ== NjEtSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RIjFGKC1GJDYjNyQkISszUS5ePyEjPkYrLUYkNiM3JCRGNUYtJCErOncxLVRGPC1GJDYjNyQkIitBOTVgaEY8RkAtSSdDVVJWRVNHRiU2JDckRipGOS1JJ0NPTE9VUkdGJTYmSSRSR0JHRihGLSQiIzVGNUYtLUZJNiQ3JEY5Rj9GTC1GSTYkNyRGKkZFRkwtRkk2JDckRjlGRUZMLUZJNiQ3JEY/RkVGTC1GSTYkNyRGKkY/RkwtRjA2JDckJCErLSsrKz8hIzVGK1EiMkYoLUYwNiQ3JCQhIzdGNUZBUSIzRigtRjA2JDckJCIrMSsrKz9GYG9GQFEiNEYoLUkqQVhFU1NUWUxFR0YlNiNJJU5PTkVHRiU= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.40. V\303\241g\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.41. \303\201ll\303\255t\303\241s.</Font></Text-field> cycle(4):countcuts(%); IiIn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.42. Erd\305\221.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.43. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.44. Euler-vonal.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.45. \303\201ll\303\255t\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.46. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.47. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.1.48. Hamilton-\303\272t.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.49. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.50. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.51. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.1.52. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.53. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.1.54. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.55. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.56. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.57. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.1.58. Feladat: Dirac t<Font encoding="UTF-8">\303\251</Font>tele.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.1.59. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.60. C<Font encoding="UTF-8">\303\255</Font>mk<Font encoding="UTF-8">\303\251</Font>zett <Font encoding="UTF-8">\303\251s s\303\272lyozott gr\303\241fok.</Font></Text-field> new(G9):addvertex([v1,v2,v3,v4],weights=[2,4,6,8],G9);addedge([{v1,v2},{v2,v3},{v1,v3},{v3,v4}],weights=[1,1,1,3],G9);show(G9); NiZJI3YxRzYiSSN2MkdGJEkjdjNHRiRJI3Y0R0Yk NiZJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0Yk LUkmVEFCTEVHJSpwcm90ZWN0ZWRHNiM3MC9JJl9UYWlsRzYiLUYjNiM3Ii9JLF9Db3VudHRyZWVzR0YpRi4vSSpfVmVydGljZXNHRik8JkkjdjFHRilJI3YyR0YpSSN2M0dGKUkjdjRHRikvSSlfVndlaWdodEdGKS1GIzYkSSdzcGFyc2VHRik3Ji9GNSIiKS9GMyIiJS9GNCIiJy9GMiIiIy9JK19FZGdlSW5kZXhHRiktRiM2JEkqc3ltbWV0cmljR0YpNyYvNiRGNEY1PCNJI2U0R0YpLzYkRjNGNDwjSSNlMkdGKS82JEYyRjM8I0kjZTFHRikvNiRGMkY0PCNJI2UzR0YpL0kvX0Vjb25uZWN0aXZpdHlHRilGZW4vSSpfRW1heG5hbWVHRilGPy9JJl9IZWFkR0YpRiovSSlfRXdlaWdodEdGKS1GIzYjNyYvRk0iIiQvRlUiIiIvRlFGYm8vRllGYm8vSSdfRWRnZXNHRik8JkZVRlFGWUZNL0krX05laWdoYm9yc0dGKS1GIzYjNyYvRjU8I0Y0L0YzPCRGMkY0L0Y0PCVGMkYzRjUvRjI8JEYzRjQvSSZfRW5kc0dGKS1GIzYjNyYvRk08JEY0RjUvRlU8JEYyRjMvRlFGZHAvRllGYHAvSS5fQmljb21wb25lbnRzR0YpRmFxL0krX0NvdW50Y3V0c0dGKUZjcQ==
<Text-field style="Heading 3" layout="Heading 3">7.1.61. Moh<Font encoding="UTF-8">\303\263</Font> algoritmus minim<Font encoding="UTF-8">\303\241</Font>lis <Font encoding="UTF-8">\303\266</Font>sszs<Font encoding="UTF-8">\303\272</Font>ly<Font encoding="UTF-8">\303\272</Font> fesz<Font encoding="UTF-8">\303\255</Font>t<Font encoding="UTF-8">\305\221</Font>erd<Font encoding="UTF-8">\305\221</Font> konstrukci<Font encoding="UTF-8">\303\263</Font>j<Font encoding="UTF-8">\303\241</Font>ra.</Text-field> spantree(G9):ends(%); PCU8JEkjdjFHNiJJI3YyR0YlPCRJI3YzR0YlSSN2NEdGJTwkRiRGKA== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.1.62. Moh<Font encoding="UTF-8">\303\263</Font> algoritmusok.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.1.63. Feladat: minim<Font encoding="UTF-8">\303\241</Font>lis <Font encoding="UTF-8">\303\266</Font>sszs<Font encoding="UTF-8">\303\272</Font>ly<Font encoding="UTF-8">\303\272</Font> fesz<Font encoding="UTF-8">\303\255</Font>t<Font encoding="UTF-8">\305\221fa fan\303\266</Font>veszt<Font encoding="UTF-8">\303\251</Font>ssel.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.1.64. Feladat: piros-k<Font encoding="UTF-8">\303\251</Font>k algoritmus.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.1.65. Feladat: a k<Font encoding="UTF-8">\303\255</Font>nai post<Font encoding="UTF-8">\303\241</Font>s-probl<Font encoding="UTF-8">\303\251</Font>ma.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.1.66. Feladat: az utaz<Font encoding="UTF-8">\303\263</Font> <Font encoding="UTF-8">\303\274</Font>gyn<Font encoding="UTF-8">\303\266</Font>k probl<Font encoding="UTF-8">\303\251</Font>m<Font encoding="UTF-8">\303\241</Font>ja.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.1.67. Tov<Font encoding="UTF-8">\303\241</Font>bbi feladatok.</Text-field>
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">7.2. Ir\303\241ny\303\255tott gr\303\241fok</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.1. Ir\303\241ny\303\255tott gr\303\241fok.</Font></Text-field> restart;with(networks); 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 G:=void(6):addedge([[1,2],[2,4],[1,3],[3,6],[2,6],[1,5]],G); tail(e1,G);head(e1,G); NihJI2UxRzYiSSNlMkdGJEkjZTNHRiRJI2U0R0YkSSNlNUdGJEkjZTZHRiQ= IiIi IiIj indegree(2,G);outdegree(2,G); IiIi IiIj addedge([1,2],G);tail(%,G);head(%%,G); SSNlN0c2Ig== IiIi IiIj show(G); 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
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.2. P\303\251lda.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.2.3. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.2.4. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.2.5. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.6. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.7. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.8. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.9. Ir\303\241ny\303\255tott gr\303\241fok izomorfi\303\241ja.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.2.10. P<Font encoding="UTF-8">\303\251ld\303\241k.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.2.11. V<Font encoding="UTF-8">\303\251ges gr\303\241fok \303\251</Font>llist<Font encoding="UTF-8">\303\241</Font>s <Font encoding="UTF-8">\303\241</Font>br<Font encoding="UTF-8">\303\241</Font>zol<Font encoding="UTF-8">\303\241</Font>sa.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.12. Ir\303\241ny\303\255tott r\303\251szgr\303\241f.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.13. Ir\303\241ny\303\255tott s\303\251t\303\241k, vonalak, utak \303\251s k\303\266r\303\266k.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.14. Topologikus rendez<Font encoding="UTF-8">\303\251</Font>s.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.15. Er\305\221s \303\266sszef\303\274gg\305\221s\303\251g.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.16. Ir\303\241ny\303\255tott fa.</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.17. K<Font encoding="UTF-8">\303\266</Font>nig-lemma.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.18. Kupac. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.19. Kupacrendez<Font encoding="UTF-8">\303\251</Font>s. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.20. B-fa. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.21. Oszd meg <Font encoding="UTF-8">\303\251</Font>s uralkodj. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.22. Dijksra modszere. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.23. Megjegyz<Font encoding="UTF-8">\303\251</Font>s. </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.24. Dinamikus programoz<Font encoding="UTF-8">\303\241</Font>s. </Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.25. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.26. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.27. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.28. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.29. Sz<Font encoding="UTF-8">\303\251</Font>less<Font encoding="UTF-8">\303\251</Font>gi bej<Font encoding="UTF-8">\303\241</Font>r<Font encoding="UTF-8">\303\241</Font>s.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.30. M<Font encoding="UTF-8">\303\251</Font>lys<Font encoding="UTF-8">\303\251</Font>gi bej<Font encoding="UTF-8">\303\241</Font>r<Font encoding="UTF-8">\303\241</Font>s.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.31. Feladat: Warshall-Floyd-algoritmus.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.32. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.33. Feladat: e<Font encoding="UTF-8">r\305\221s komponensek megha</Font>t<Font encoding="UTF-8">\303\241</Font>roz<Font encoding="UTF-8">\303\241</Font>sa.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.34. PERT.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.35. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.36. Folyamprobl<Font encoding="UTF-8">\303\251</Font>ma.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.37. Lemma.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.38. Ford-Fulkerson-t<Font encoding="UTF-8">\303\251</Font>tel (maxim<Font encoding="UTF-8">\303\241</Font>lis folyam, minim<Font encoding="UTF-8">\303\241</Font>lis v<Font encoding="UTF-8">\303\241</Font>g<Font encoding="UTF-8">\303\241</Font>s t<Font encoding="UTF-8">\303\251</Font>tel).</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.39. Edmonds-Karp-heurisztika.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.40. Dinic m<Font encoding="UTF-8">\303\263</Font>dszere.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.41. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.42. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.43. Feladat: <Font encoding="UTF-8">\303\241</Font>ltal<Font encoding="UTF-8">\303\241</Font>nos<Font encoding="UTF-8">\303\255</Font>tott folyamprobl<Font encoding="UTF-8">\303\251</Font>ma.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.44. Feladat: Menger t<Font encoding="UTF-8">\303\251tele elv\303\241</Font>g<Font encoding="UTF-8">\303\263</Font> <Font encoding="UTF-8">\303\251</Font>lhalmazra.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.45. Feladat: Menger t<Font encoding="UTF-8">\303\251tele elv\303\241</Font>g<Font encoding="UTF-8">\303\263</Font> cs<Font encoding="UTF-8">\303\272</Font>cshalmazra.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.46. Feladat: K<Font encoding="UTF-8">\303\266</Font>nig t<Font encoding="UTF-8">\303\251</Font>tele.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.47. Gr\303\241fok rajzolhat\303\263s\303\241ga.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.48. \303\201ll\303\255t\303\241s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.49. Seg\303\251dt\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.50. T\303\251tel.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">->7.2.51. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.2.52. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.53. Tartom\303\241nyok.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.54. Euler t\303\251tele.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.55. Megjegyz\303\251s.</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.56. Gr<Font encoding="UTF-8">\303\241</Font>fok topologikus izomorfizmusa.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">*7.2.57. Kuratowski t\303\251tele.</Font></Text-field> G:=tetrahedron():draw(G);isplanar(G); NjEtSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RIjFGKC1GJDYjNyQkISszUS5ePyEjPkYrLUYwNiQ3JCQhKy0rKys/ISM1RitRIjJGKC1GJDYjNyQkRjVGLSQhKzp3MS1URjwtRjA2JDckJCEjN0Y1RkhRIjNGKC1GJDYjNyQkIitBOTVgaEY8RkctRjA2JDckJCIrMSsrKz9GQkZHUSI0RigtSSdDVVJWRVNHRiU2JDckRipGOS1JJ0NPTE9VUkdGJTYmSSRSR0JHRihGLSQiIzVGNUYtLUZmbjYkNyRGKkZGRmluLUZmbjYkNyRGKkZSRmluLUZmbjYkNyRGOUZGRmluLUZmbjYkNyRGOUZSRmluLUZmbjYkNyRGRkZSRmluLUkqQVhFU1NUWUxFR0YlNiNJJU5PTkVHRiU= SSV0cnVlRyUqcHJvdGVjdGVkRw== G:=icosahedron():draw(G);isplanar(G); 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 SSV0cnVlRyUqcHJvdGVjdGVkRw== G:=complete(5):draw(G);isplanar(G); 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 SSZmYWxzZUclKnByb3RlY3RlZEc= G:=complete(3,3):draw(G);isplanar(G); 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 SSZmYWxzZUclKnByb3RlY3RlZEc= G:=petersen():draw(G);isplanar(G); 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 SSZmYWxzZUclKnByb3RlY3RlZEc= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.58. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">*7.2.59. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.60. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.61. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">*7.2.62. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.63. Kromatikus sz<Font encoding="UTF-8">\303\241</Font>m.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">->7.2.64. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.65. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.66. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.67. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3">7.2.68. Feladat.</Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">7.2.69. Gr\303\241fok m\303\241trixai.</Font></Text-field> G:=tetrahedron():draw(G);adjacency(G);incidence(G); NjEtSSdQT0lOVFNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IzckJCIiIiIiISRGLUYtLUklVEVYVEdGKDYkNyQkIiM3ISIiRi5RIjFGKC1GJDYjNyQkISszUS5ePyEjPkYrLUYwNiQ3JCQhKy0rKys/ISM1RitRIjJGKC1GJDYjNyQkRjVGLSQhKzp3MS1URjwtRjA2JDckJCEjN0Y1RkhRIjNGKC1GJDYjNyQkIitBOTVgaEY8RkctRjA2JDckJCIrMSsrKz9GQkZHUSI0RigtSSdDVVJWRVNHRiU2JDckRipGOS1JJ0NPTE9VUkdGJTYmSSRSR0JHRihGLSQiIzVGNUYtLUZmbjYkNyRGKkZGRmluLUZmbjYkNyRGKkZSRmluLUZmbjYkNyRGOUZGRmluLUZmbjYkNyRGOUZSRmluLUZmbjYkNyRGRkZSRmluLUkqQVhFU1NUWUxFR0YlNiNJJU5PTkVHRiU= LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKj96UGgi LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKnc3V2gi LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.2.70. Feladat.</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">7.2.71. Tov<Font encoding="UTF-8">\303\241</Font>bbi feladatok.</Text-field>
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<Text-field style="Heading 1" layout="Heading 1">8. Algebra</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">9. K\303\263dol\303\241s</Font></Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1">10. Algoritmusok</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn