New advances on (pseudo)digraphs and evolution algebras

Abstract

In this paper, new advances concerning the link between evolution algebras and (pseudo)digraph are shown. Some important elements that can be read from the (pseudo)digraph that is associated with an evolution algebra are studied. Moreover, several results concerning solvability, nilpotency and the preservation of them under the graph union operation are proved. In order to complement the theoretical study, an algorithmic method has been implemented. This is devoted to computing the nilpotency index of a nilpotent evolution algebra by using its associated digraph.

Es la versión preprint del artículo. Se puede consultar la versión final en https://doi.org/10.1007/s40314-022-01858-7