Brauer Configuration Algebras Arising from Dyck Paths by Agustín Moreno Cañadas, Gabriel Bravo Rios, Isaías David Marín Gaviria

“…Recently introduced categories of Dyck paths have allowed interactions between the theory of representation of algebras and cluster algebras theory. As another application of Dyck paths theory, we present Brauer configurations, whose polygons are defined by these types of paths. …”
Get full text

Snake Graphs Arising from Groves with an Application in Coding Theory by Agustín Moreno Cañadas, Gabriel Bravo Rios, Robinson-Julian Serna

“…Furthermore, perfect matchings of snake graphs have also been used to find closed formulas for cluster variables of some cluster algebras and solutions of the Markov equation, which is a well-known Diophantine equation. …”
Get full text