Hamiltonicity via cohomology of right-angled Artin groups

Ramón Flores; Delaram Kahrobaei; Thomas Koberda

Hamiltonicity via cohomology of right-angled Artin groups

Group Theory 2021-08-25 v2 Combinatorics Geometric Topology

Authors: Ramón Flores , Delaram Kahrobaei , Thomas Koberda

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.

Keywords

hamiltonicity right-angled artin groups cohomology algebra finite graph matrix determinant canonical graph

Cite

@article{arxiv.2101.10155,
  title  = {Hamiltonicity via cohomology of right-angled Artin groups},
  author = {Ramón Flores and Delaram Kahrobaei and Thomas Koberda},
  journal= {arXiv preprint arXiv:2101.10155},
  year   = {2021}
}

Comments

14 pages. To appear in Linear Algebra and its Applications

Hamiltonicity via cohomology of right-angled Artin groups

Abstract

Keywords

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