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Mathematical Methods in the Applied Sciences
Article . 2020 . Peer-reviewed
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zbMATH Open
Article . 2022
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Finite dimensional evolution algebras and (pseudo)digraphs

Authors: M. Ceballos; J. Núñez; Á. F. Tenorio;

Finite dimensional evolution algebras and (pseudo)digraphs

Abstract

In this paper, we focus on the link between evolution algebras and (pseudo)digraphs. We study some theoretical properties about this association and determine the properties of the (pseudo)digraphs associated with each type of evolution algebras. We also analyze the isomorphism classes for each configuration associated with these algebras providing a new method to classify them, and we compare our results with the current classifications of two‐ and three‐dimensional evolution algebras. In order to complement the theoretical study, we have designed and performed the implementation of an algorithm, which constructs and draws the (pseudo)digraph associated with a given evolution algebra and another procedure to study the solvability of a given evolution algebra.

Country
Spain
Keywords

evolution algebra, algorithm, Evolution algebra, Applications of graph theory, Graph representations (geometric and intersection representations, etc.), Digraph, Directed graphs (digraphs), tournaments, Symbolic computation and algebraic computation, digraph, Graphs and abstract algebra (groups, rings, fields, etc.), Algorithm, Genetic algebras, Graph algorithms (graph-theoretic aspects), Isomorphism

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Top 10%
Green
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