On the maximum average degree and the incidence chromatic number of a graph

We prove that the incidence chromatic number of every 3-degenerated graph G is at most Δ(G)+4. It is known that the incidence chromatic number of every graph G with maximum average degree mad(G)<3 is at most Δ (G)+3. We show that when Δ (G) ≥ 5, this bound may be decreased to Δ (G)+...

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Bibliographic Details
Main Authors: Mohammad Hosseini Dolama, Eric Sopena
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2005-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/68