# Discrete Mathematics & Theoretical Computer Science

## Volume 7 n° 1 (2005), pp. 203-216

author: | Hosseini Dolama, Mohammad and Sopena, Eric |
---|---|

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

keywords: | incidence coloring, k-degenerated graph, planar graph, maximum average degree |

abstract: | 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)+2. Moreover, we show
that for every graph G with
mad(G)<22/9 (resp. with mad(G)<16/7 and Δ (G)≥ 4),
this bound may be decreased to Δ(G)+2 (resp. to Δ(G)+1).
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reference: | Hosseini Dolama, Mohammad and Sopena, Eric (2005),
On the maximum average degree and the incidence chromatic number of a graph,
Discrete Mathematics and Theoretical Computer Science 7, pp. 203-216 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Fri Sep 2 23:11:08 CEST 2005 by falk