# Edge-partitions of sparse graphs and their applications to game coloring

2 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : In this note, we prove that every graph with maximum average degree less than $\frac{32}{13}$ (resp. $\frac{30}{11}$, $\frac{32}{11}$, $\frac{70}{23}$) admits an edge-partition into a forest and a subgraph of maximum degree 1 (resp. 2, 3, 4). This implies that these graphs have game coloring number at most 5, 6, 7, 8, respectively.
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Cited literature [7 references]

https://hal.archives-ouvertes.fr/hal-00368828
Contributor : Mickael Montassier <>
Submitted on : Wednesday, March 18, 2009 - 11:13:06 AM
Last modification on : Friday, July 12, 2019 - 8:10:02 PM
Long-term archiving on : Tuesday, June 8, 2010 - 11:34:12 PM

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RR-145309.pdf
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• HAL Id : hal-00368828, version 1

### Citation

Mickael Montassier, Arnaud Pêcher, André Raspaud, Xuding Zhu. Edge-partitions of sparse graphs and their applications to game coloring. 2009. ⟨hal-00368828⟩

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