论文标题

$ k $的代数表征 - 可着色

An algebraic characterization of $k$--colorability

论文作者

Flores, Ramón, Kahrobaei, Delaram, Koberda, Thomas

论文摘要

我们表征了$ k $ - 通过相关的右角Artin组的内在代数结构的简单图的色彩。结果,我们表明,关于从右角Artin组到自由组产品的同构存在的某个问题是NP的完整问题。

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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