On some relationships between snake graphs and Brauer configuration algebras

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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Бібліографічні деталі
Дата:2022
Автори: Espinosa, P. F. F., González, J. F., Herrán, J. P., Cañadas, A. M., Ramírez, J. L.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2022
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-16632022-10-14T16:01:17Z On some relationships between snake graphs and Brauer configuration algebras Espinosa, P. F. F. González, J. F. Herrán, J. P. Cañadas, A. M. Ramírez, J. L. Brauer configuration algebra, Fibonacci number, perfect matching, snake graph 16G20, 16G60, 16G30 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. Lugansk National Taras Shevchenko University J.L. Ramírez was partially supported by Universidad Nacional de Colombia, Project No. 46240. P.F.F. Espinosa was partially supported by COLCIENCIAS, Doctorados nacionales No.785. 2022-10-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663 10.12958/adm1663 Algebra and Discrete Mathematics; Vol 33, No 2 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1663/741 Copyright (c) 2022 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2022-10-14T16:01:17Z
collection OJS
language English
topic Brauer configuration algebra
Fibonacci number
perfect matching
snake graph
16G20
16G60
16G30
spellingShingle Brauer configuration algebra
Fibonacci number
perfect matching
snake graph
16G20
16G60
16G30
Espinosa, P. F. F.
González, J. F.
Herrán, J. P.
Cañadas, A. M.
Ramírez, J. L.
On some relationships between snake graphs and Brauer configuration algebras
topic_facet Brauer configuration algebra
Fibonacci number
perfect matching
snake graph
16G20
16G60
16G30
format Article
author Espinosa, P. F. F.
González, J. F.
Herrán, J. P.
Cañadas, A. M.
Ramírez, J. L.
author_facet Espinosa, P. F. F.
González, J. F.
Herrán, J. P.
Cañadas, A. M.
Ramírez, J. L.
author_sort Espinosa, P. F. F.
title On some relationships between snake graphs and Brauer configuration algebras
title_short On some relationships between snake graphs and Brauer configuration algebras
title_full On some relationships between snake graphs and Brauer configuration algebras
title_fullStr On some relationships between snake graphs and Brauer configuration algebras
title_full_unstemmed On some relationships between snake graphs and Brauer configuration algebras
title_sort on some relationships between snake graphs and brauer configuration algebras
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2022
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663
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