Abstract
This investigation comprises the continuation of creative research in Discrete Mathematics presented in previous papers on algebras in general, regarding the utilization of graphs to contemplate the specific instance of graphicable algebras, which form a subset of evolution algebras. Evolution algebras are especially fascinating since they are intrinsically connected with other Mathematical fields, for example, grouptheory, stochastics processes and dynamical systems. Depiction on primeness of particular type of graphicable and subgraphicable algebras is described in view of the newline of research initiated previously by some of the authors.
Publisher
Sociedade Paranaense de Matematica
Reference8 articles.
1. Cadavid P., Rodino Montoya M. L. and Rodrıguez P. M., On the isomorphisms between evolution algebras of graphs and random walks. (eprint arXiv:1710.10516).
2. Clark, J., Holton. D. A., A first look at graph theory, World scientific, (1991).
3. Camacho, L. M., Gomez J. R., Omirov. B. A., and Turdibaev, R. M., Some properties of evolution algebras, Bull. Korean. Math. Soc., 50, No. 5, 1481-1494, (2013).
4. Tian, J. P. and Vojtechovsky. P., Mathematical concepts of evolution algebra in non-mendelian genetics, Quasi groups and related systems, 14, No. 1, 111-122, (2006).
5. Tian, J. P. and Vojtechovsky. P., Evolution algebras and their applications, (Lecture notes in Mathematics), No. 1921, Springer-Verlag, Berlin, (2008).