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13.
Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
Broersma, Hajo ...
Pokažemo, da so domneve Matthewsa in Sumnerja (vsak 4-povezan graf ▫$K_1$▫, 3-prost graf je Hamiltonski), Thomassena (vsak 4-povezan povezavni graf je Hamiltonski) in Fleischnerja (vsak ciklično po ...povezavah 4-povezan kubičen graf je po povezavah 3-obarvljiv ali pa vsebuje dominantni cikel), za katere je znano, da so enakovredne, enakovredne trditvi, da ima vsak snark (ciklično po povezavah 4-povezan kubičen graf dolžine vsaj 5, ki ni po povezavah 3-obarvljiv) dominantni cikel.
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