The validity of Tutte's 3-flow conjecture for some Cayley graphs
Ahanjideh, Milad ; Iranmanesh, Ali
Tuttova domneva o 3-toku trdi, da vsak graf, ki nima ne mostov ne 3-povezavnih rezov, dopušča povsod neničelni 3-tok. V članku potrdimo veljavnost Tuttove domneve o 3-toku za Cayleyjeve grafe ...določenih razredov končnih grup. Tako npr. pokažemo, da ima vsak Cayleyjev graf na posplošeni diciklični grupi valence 4 povsod neničelni 3-tok. Pokažemo tudi, da ▫$\mathrm{Cay}(G, S)$▫ dopušča povsod neničelni 3-tok, če je ▫$G$▫ rešljiva grupa s ciklično sylowsko 2-podgrupo.
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