Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes - the case PSL▫$(2, q^2)$▫ acting on cosets of PGL▫$(2, q)$▫
Du, Shao Fei ; Kutnar, Klavdija, 1980- ; Marušič, Dragan
Članek prinaša napredek pri dolgo odprti Lovászevi domnevi o hamiltonskosti vozliščno tranzitivnih grafov. V članku je dokazano, da vsak povezan vozliščno tranzitiven graf, katerega red je produkt ...dveh praštevil, ki izhaja iz grupnega delovanja specialne projektivne linearne grupe PSL▫$(2, q^2)$▫ na odsekih po njeni podgrupi izomorfni splošni projektivni linearni grupi PGL▫$(2, q)$▫, premore hamiltonski cikel.
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