Adjacent vertex distinguishing total coloring of corona products (Brief Announcement)

Abstract

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. In 2005 Zhang et al. posted the conjecture (AVDTCC) that every simple graph G has adjacent vertex distinguishing total (∆(G) + 3)-coloring. In this paper we confirm the conjecture for many coronas, in particular for generalized, simple and l-coronas of graphs, not relating the results to particular graph classes.