Title Finite dimensional evolution algebras and (pseudo)digraphs
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
External publication No
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 2.321
SJR Impact 0.719
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087162218&doi=10.1002%2fmma.6632&partnerID=40&md5=6ef4e5263882a94792c8336aadacb68f
Publication date 22/06/2020
ISI 000541480600001
Scopus Id 2-s2.0-85087162218
DOI 10.1002/mma.6632
Abstract In this paper, we focus on the link between evolution algebras and\n (pseudo)digraphs. We study some theoretical properties about this\n association and determine the properties of the (pseudo)digraphs\n associated with each type of evolution algebras. We also analyze the\n isomorphism classes for each configuration associated with these\n algebras providing a new method to classify them, and we compare our\n results with the current classifications of two- and three-dimensional\n evolution algebras. In order to complement the theoretical study, we\n have designed and performed the implementation of an algorithm, which\n constructs and draws the (pseudo)digraph associated with a given\n evolution algebra and another procedure to study the solvability of a\n given evolution algebra.
Keywords algorithm; digraph; evolution algebra; isomorphism
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