On some relationships between snake graphs and Brauer configuration algebras

Pedro Fernando Fernández Espinosa, Universidad Nacional de Colombia, Javier Fernando González, Juan Pablo Herrán, Agustín Moreno Cañadas, José Luis Ramírez, Universidad Nacional de Colombia, Universidad Nacional de Colombia, Universidad Nacional de Colombia, Universidad Nacional de Colombia
2022 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.
doi:10.12958/adm1663 fatcat:qckmo3cwknbdnkxxnxgnvcpj3u