𝑘-colorability的代数表征

Ramón Flores, Delaram Kahrobaei, T. Koberda
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引用次数: 2

摘要

我们通过相关直角Artin群的固有代数结构刻画了简单图的可色性。因此,我们证明了直角Artin群到自由群的积的同态的存在性问题是NP—完全的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An algebraic characterization of 𝑘–colorability
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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