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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