Hamiltonicity via cohomology of right-angled Artin groups

Autor:	Thomas Koberda, Ramón Flores, Delaram Kahrobaei
Rok vydání:	2021
Předmět:	Numerical Analysis Algebra and Number Theory Structure (category theory) Matrix determinant Cohomology Finite graph Combinatorics Matrix (mathematics) Discrete Mathematics and Combinatorics Artin group Graph (abstract data type) Geometry and Topology Algebra over a field Mathematics
Zdroj:	Linear Algebra and its Applications. 631:94-110
ISSN:	0024-3795
DOI:	10.1016/j.laa.2021.08.019
Popis:	Let Γ be a finite graph and let A ( Γ ) be the corresponding right-angled Artin group. We characterize the Hamiltonicity of Γ via the structure of the cohomology algebra of A ( Γ ) . 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::41355c232072f9fb5e586ebe247221ca https://doi.org/10.1016/j.laa.2021.08.019 Zobrazit plný text záznamu Full Text from ScienceDirect