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Algebra and Discrete Mathematics
Article . 2022 . Peer-reviewed
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zbMATH Open
Article . 2022
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On some relationships between snake graphs and Brauer configuration algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022Publisher:Luhansk Taras Shevchenko National UniversityJournal:Algebra and Discrete Mathematics, volume 33, pages 29-59 (issn: 1726-3255, eissn: 2415-721X, Copyright policy )
Authors: Espinosa, P. F. F.; González, J. F.; Herrán, J. P.; Cañadas, A. M.; Ramírez, J. L.;

doi: 10.12958/adm1663

On some relationships between snake graphs and Brauer configuration algebras

Abstract

In this paper, suitable Brauer configuration algebras are used to give an explicit formula for the number of perfect matchings of a snake graph. Some relationships between Brauer configuration algebras with path problems as the Lindstr\"om problem are described as well.

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Keywords

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Combinatorial aspects of tessellation and tiling problems, Brauer configuration algebra, Cluster algebras, perfect matching, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci number, snake graph, Enumeration in graph theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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