S-Graphicable Algebras and Specific Graph Families
This paper presents new developments in the relationship between S-graphicable algebras and graphs. Several general algebraic properties of S-graphicable evolution algebras are established, including characterizations of the annihilator, idempotent elements, and evolution subalgebras. It is also sho...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universidad Loyola Andalucía |
| Repositorio: | Brújula |
| OAI Identifier: | oai:dnet:brújula_____::1da2443988b3da97e91f8176952d2035 |
| Acceso en línea: | https://hdl.handle.net/20.500.12412/7262 |
| Access Level: | acceso abierto |
| Palabra clave: | Graphicable algebras Evolution algebras Graphs Derived algebra |
| Sumario: | This paper presents new developments in the relationship between S-graphicable algebras and graphs. Several general algebraic properties of S-graphicable evolution algebras are established, including characterizations of the annihilator, idempotent elements, and evolution subalgebras. It is also shown that S-graphicable algebras are nonsolvable, and several results concerning their perfectness are provided. In addition, new families of S-graphicable algebras are introduced, each associated with well-known graph types, and the structural relationships among these families are analyzed, revealing significant algebraic connections. Finally, an algorithmic method is presented to determine whether a given evolution algebra is S-graphicable and, if so, to construct its associated graph. |
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