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arxiv: 1409.5164 · v1 · pith:5THGT3RFnew · submitted 2014-09-17 · 🧮 math.CO · cs.DM

Three-coloring graphs with no induced seven-vertex path I : the triangle-free case

classification 🧮 math.CO cs.DM
keywords inducedpathseven-vertextriangle-freealgorithmcasecolorablecoloring
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In this paper, we give a polynomial time algorithm which determines if a given triangle-free graph with no induced seven-vertex path is 3-colorable, and gives an explicit coloring if one exists.

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