Recent progress in the research of evolution algebras associated to graphs

Abstract

Evolution algebras is a class of non-associative algebras with connections with many mathematical fields. One natural way to define the evolution algebra associated to a given graph is taking into account the adjacencies of the graph. In this review note we discuss recents results about these mathematical structures and we emphasize in some interesting open problems.

Derivations of Evolution Algebras associated to graphs over a field of any characteristic

“…Let G = (V, E) be a graph with adjacency matrix A G = (a ij ). The evolution algebra associated to G is the algebra A(G) with natural basis S = {e i : i ∈ V }, and relations We refer the reader to [2,3,21] for a review of recent results related to evolution algebras associated to graphs.…”