Coloring Artemis graphs - Archive ouverte HAL
Article Dans Une Revue Theoretical Computer Science Année : 2009

Coloring Artemis graphs

Benjamin Lévêque
Frédéric Maffray
Bruce Reed
Nicolas Trotignon

Résumé

We consider the class A of graphs that contain no odd hole, no antihole, and no "prism" (a graph consisting of two disjoint triangles with three disjoint paths between them). We show that the coloring algorithm found by the second and fourth author can be implemented in time O(n^2m) for any graph in A with n vertices and m edges, thereby improving on the complexity proposed in the original paper.
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Dates et versions

hal-00004741 , version 1 (18-04-2005)

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Benjamin Lévêque, Frédéric Maffray, Bruce Reed, Nicolas Trotignon. Coloring Artemis graphs. Theoretical Computer Science, 2009, 410, pp.2234-2240. ⟨10.1016/j.tcs.2009.02.012⟩. ⟨hal-00004741⟩
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