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Diskretnaya Matematika, 2023, Volume 35, Issue 2, Pages 3–17
DOI: https://doi.org/10.4213/dm1718 (Mi dm1718) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the matching arrangement of a graph and properties of its characteristic polynomial

A. I. Bolotnikov

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/dm1718
Abstract: We consider a hyperplane arrangement constructed from a subset of the set of all simple paths in a graph. A relation of the constructed arrangement to the maximum matching problem is established. In addition, the problem of finding the characteristic polynomial is reduced to the case of a connected original graph. In the case where the original graph is a tree, a formula for the characteristic polynomial is obtained.
Keywords: hyperplane arrangement, graphical arrangement, partially ordered set, matroid, maximal matching problem.
Received: 12.05.2022
English version:
Discrete Mathematics and Applications, 2024, Volume 34, Issue 5, Pages 251–261
DOI: https://doi.org/10.1515/dma-2024-0022
Document Type: Article
UDC: 519.171
Language: Russian
Citation: A. I. Bolotnikov, “On the matching arrangement of a graph and properties of its characteristic polynomial”, Diskr. Mat., 35:2 (2023), 3–17; Discrete Math. Appl., 34:5 (2024), 251–261
Citation in format AMSBIB
\Bibitem{Bol23}
\by A.~I.~Bolotnikov
\paper On the matching arrangement of a~graph and properties of its characteristic polynomial
\jour Diskr. Mat.
\yr 2023
\vol 35
\issue 2
\pages 3--17
\mathnet{http://mi.mathnet.ru/dm1718}
\crossref{https://doi.org/10.4213/dm1718}
\transl
\jour Discrete Math. Appl.
\yr 2024
\vol 34
\issue 5
\pages 251--261
\crossref{https://doi.org/10.1515/dma-2024-0022}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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