This survey starts with a motivation of the study of Brauer graph algebras by relating them to
special biserial algebras. The definition of Brauer graph algebras is given in great detail with …

Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among
scientists of diverse areas in mathematics and other sciences. One of the fundamental open …

The dimension of the center of a Brauer configuration algebra - ScienceDirect Skip to main
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Mutations on Brauer configurations are introduced and associated with some suitable
automata to solve generalizations of the Chicken McNugget problem. Additionally, based on …

The energy E (G) of a graph G is the sum of the absolute values of its adjacency matrix. In
contrast, the trace norm of a digraph Q, which is the sum of the singular values of the …

The notion of visual cryptography was introduced without formalisms by Naor and Shamir in
1994. It provides a very powerful technique by which one secret can be distributed into two …

In this paper, we develop a covering theory for the fractional Brauer configurations. Firstly,
we define the morphism and the covering between two fractional Brauer configurations, and …

In this paper we define almost gentle algebras, which are monomial special multiserial
algebras generalizing gentle algebras. We show that the trivial extension of an almost gentle …

Snake graphs are connected planar graphs consisting of a finite sequence of adjacent tiles
(squares) T 1, T 2,…, T n. In this case, for 1≤ j≤ n− 1, two consecutive tiles T j and T j+ 1 …

In previous papers, we defined fractional Brauer graphs and studied their covering theory. In
this paper, we develop a covering theory for the Brauer $ G $-sets and use it to generalize …