@MISC{Budajová_hitnumber, author = {Kristína Budajová and Július Czap}, title = {Hit Number of Directed Bipartite Graphs}, year = {} }
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Abstract
A total coloring f of a directed graph G is called edge-irregular if for any two edges e1 = u1v1 and e2 = u2v2 of G the associated ordered triples (f(u1),f(e1),f(v1)) and (f(u2),f(e2),f(v2)) are different. The problem is to determine the minimum number of colors used in such a coloring of G. This parameter of G is denoted by hit(G). In this paper we determine hit(G) for complete bipartite graphs G.