M2-Edge Colorings Of Cacti And Graph Joins

An edge coloring φ of a graph G is called an M2-edge coloring if |φ(v)| ≤ 2 for every vertex v of G, where φ(v) is the set of colors of edges incident with v. Let 𝒦2(G) denote the maximum number of colors used in an M2-edge coloring of G. In this paper we determine 𝒦2(G) for trees, cacti, complete m...

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Bibliographic Details
Main Authors: Czap Július, Šugerek Peter, Ivančo Jaroslav
Format: Article
Language:English
Published: University of Zielona Góra 2016-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1842