20.500.12556/RUP-21993 Adjacent vertex distinguishing total coloring of corona product of graphs Popolno barvanje, ki razlikuje točke v koronskih produktih grafov An adjacent vertex distinguishing total k-coloring f of a graph G is a proper total k-coloring of G such that no pair of adjacent vertices has the same color sets, where the color set at a vertex v, C_f^G(v), is {f(v)} ∪ {f(vu)|u ∈ V(G), vu ∈ E(G)}. In 2005 Zhang et al. posted the conjecture (AVDTCC) that every simple graph G has adjacent vertex distinguishing total (Δ(G) + 3)-coloring. In this paper we confirm the conjecture for many types of coronas, in particular for generalized, simple and l-coronas of graphs, not relating the results to particular graph classes of the factors. corona graph l-corona generalized corona graph adjacent vertex distinguishing total coloring AVDTC Conjecture koronski graf l-korona posplošeni koronski graf popolno barvanje ki razlikuje sosednje točke domneva AVDTC true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-10-21 22:36:51 2025-10-21 22:36:52 2025-11-12 03:02:49 0000-00-00 00:00:00 2025 0 0 15 str. no. 2, [article no.] P2.08 Vol. 25 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-03-21 51 1855-3974 https://doi.org/10.26493/1855-3974.3231.f5e AMC_Furmańczyk,Zuazua_2025.pdf AMC_Furmańczyk,Zuazua_2025.pdf 1 6662F7D0742567BEB283500E7BD13C58 4c2e1bff8468df9c1180211e83ef1acfe358e6e4a58122f57bce5104e3916a93 710010bb-aebe-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31928 Založba Univerze na Primorskem 0 0 0