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Coloring Artemis graphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2009 English Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 410, pages 2,234-2,240 (issn: 0304-3975, Copyright policy )
Authors: Lévêque, Benjamin; Maffray, Frédéric; Reed, Bruce; Trotignon, Nicolas;

doi: 10.1016/j.tcs.2009.02.012

arXiv: http://arxiv.org/abs/cs/0504082

Abstract

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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Keywords

Perfect graphs, Even pair, Artemis graphs, G.2.2, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Graph, 004, Theoretical Computer Science, Algorithm, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], Perfect graph, Coloring, Computer Science(all), Computer Science - Discrete Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
hybrid
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