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arXiv · 2101.10155

Hamiltonicity via cohomology of right-angled Artin groups

Ramón Flores·Delaram Kahrobaei·Thomas Koberda
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Abstract

Let $\Gamma$ be a finite graph and let $A(\Gamma)$ be the corresponding right-angled Artin group. We characterize the Hamiltonicity of $\Gamma$ via the structure of the cohomology algebra of $A(\Gamma)$. In doing so, we define and develop a new canonical graph associated to a matrix, which as a consequence provides a novel perspective on the matrix determinant.

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Ramón Flores, Delaram Kahrobaei, Thomas Koberda. 2021-01-25. Hamiltonicity via cohomology of right-angled Artin groups. https://arxiv.org/abs/2101.10155

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