1. A particular type of non-associative algebras and graph theory
- Author
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Núñez Valdés, Juan, Silvero Casanova, Marithania, Villar Liñán, María Trinidad, Vasek, Vladimir (Coordinador), Shmaliy, Yuriy S. (Coordinador), Trcek, Denis (Coordinador), Kobayashi, Nobuhiko P. (Coordinador), Choras, Ryszard S. (Coordinador), Klos, Zbigniew (Coordinador), Vasek, Vladimir, Shmaliy, Yuriy S., Trcek, Denis, Kobayashi, Nobuhiko P., Choras, Ryszard S., Klos, Zbigniew, Universidad de Sevilla. Departamento de Geometría y Topología, Universidad de Sevilla. Departamento de álgebra, Universidad de Sevilla. FQM326: Geometría Diferencial y Teoría de Lie, and Universidad de Sevilla. FQM164: Matematica Discreta: Teoría de Grafos y Geometría Computacional
- Subjects
Evolution operator ,Evolution algebras ,Non-associative algebras ,Graphicable algebras ,Pseudo-graphs ,Directed graphs - Abstract
Evolution algebras have many connections with other mathematical fields, like group theory, stochastics processes, dynamical systems and other related ones. The main goal of this paper is to introduce a novel non-usual research on Discrete Mathematics regarding the use of graphs to solve some open problems related to the theory of graphicable algebras, which constitute a subset of those algebras. We show as many our advances in this field as other non solved problems to be tackled in future.
- Published
- 2011