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An algebraic characterization of k--colorability

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JournalProceedings of the American Mathematical Society
DateAccepted/In press - 2020
Number of pages6
Original languageEnglish

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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© Copyright 2020, American Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

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