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.
Saved in:
| Date: | 2022 |
|---|---|
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2022
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| _version_ | 1856543245271564288 |
|---|---|
| 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. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2022-10-14T16:01:17Z |
| 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. |
| first_indexed | 2026-02-08T08:00:09Z |
| format | Article |
| id | admjournalluguniveduua-article-1663 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:00:09Z |
| publishDate | 2022 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | On some relationships between snake graphs and Brauer configuration algebras |
| title_sort | on some relationships between snake graphs and brauer configuration algebras |
| topic | Brauer configuration algebra Fibonacci number perfect matching snake graph 16G20 16G60 16G30 |
| topic_facet | Brauer configuration algebra Fibonacci number perfect matching snake graph 16G20 16G60 16G30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663 |
| work_keys_str_mv | AT espinosapff onsomerelationshipsbetweensnakegraphsandbrauerconfigurationalgebras AT gonzalezjf onsomerelationshipsbetweensnakegraphsandbrauerconfigurationalgebras AT herranjp onsomerelationshipsbetweensnakegraphsandbrauerconfigurationalgebras AT canadasam onsomerelationshipsbetweensnakegraphsandbrauerconfigurationalgebras AT ramirezjl onsomerelationshipsbetweensnakegraphsandbrauerconfigurationalgebras |