On some relationships between snake graphs and Brauer configuration algebras

• Date: 2022
• Main Authors: Espinosa, P. F. F., González, J. F., Herrán, J. P., Cañadas, A. M., Ramírez, J. L.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: Brauer configuration algebra; Fibonacci number; perfect matching; snake graph; 16G20; 16G60; 16G30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1663
• Journal Title: Algebra and Discrete Mathematics

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.