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Polynomial-time algorithm for vertex k-colorability of P_5-free graphs

Marcin Kaminski·Vadim Lozin
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Abstract

We give the first polynomial-time algorithm for coloring vertices of P_5-free graphs with k colors. This settles an open problem and generalizes several previously known results.

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Marcin Kaminski, Vadim Lozin. 2006-07-26. Polynomial-time algorithm for vertex k-colorability of P_5-free graphs. https://arxiv.org/abs/cs/0607115

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