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arXiv · 2003.01484

An algebraic characterization of $k$--colorability

Ramón Flores·Delaram Kahrobaei·Thomas Koberda
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Abstract

We characterize $k$--colorability of a simplicial graph via the intrinsic algebraic structure of the associated right-angled Artin group. As a consequence, we show that a certain problem about the existence of homomorphisms from right-angled Artin groups to products of free groups is NP--complete.

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Ramón Flores, Delaram Kahrobaei, Thomas Koberda. 2020-03-03. An algebraic characterization of $k$--colorability. https://arxiv.org/abs/2003.01484

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