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Coloring Artemis graphs. (English) Zbl 1165.05027

Summary: We consider the class 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 give an algorithm that can optimally color the vertices of these graphs in time \(O(n^{2}m)\).

MSC:

05C85 Graph algorithms (graph-theoretic aspects)
05C15 Coloring of graphs and hypergraphs
68Q25 Analysis of algorithms and problem complexity
Full Text: DOI

References:

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