Strong Chromatic Index Of Planar Graphs With Large Girth

Let Δ ≥ 4 be an integer. In this note, we prove that every planar graph with maximum degree Δ and girth at least 1 Δ+46 is strong (2Δ−1)-edgecolorable, that is best possible (in terms of number of colors) as soon as G contains two adjacent vertices of degree Δ. This improves [6] when Δ ≥ 6....

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Bibliographic Details
Main Authors: Jennhwa Chang Gerard, Montassier Mickael, Pêche Arnaud, Raspaud André
Format: Article
Language:English
Published: University of Zielona Góra 2014-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1763