On Incidence Coloring of Complete Multipartite and Semicubic Bipartite Graphs

In the paper, we show that the incidence chromatic number χi of a complete k-partite graph is at most Δ + 2 (i.e., proving the incidence coloring conjecture for these graphs) and it is equal to Δ + 1 if and only if the smallest part has only one vertex (i.e., Δ = n − 1). Formally, for a complete k-p...

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Bibliographic Details
Main Authors: Janczewski Robert, Małafiejski Michał, Małafiejska Anna
Format: Article
Language:English
Published: Sciendo 2018-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2018.38.issue-1/dmgt.1995/dmgt.1995.xml?format=INT