Certain types of ladder prime graphicable algebras

Authors

  • Karamthot Jayalakshmi Jawaharlal Nehru Technological University https://orcid.org/0000-0001-9837-7268
  • R. Anantha Lakshmi Jawaharlal Nehru Technological University

DOI:

https://doi.org/10.5269/bspm.52700

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.

References

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).
6. Nunez. J., Silverio. M. and Trinidad Villar. M., Graph theory : a tool to study evolution algebras, (Preprint), (2012).
7. Nunez. J., Rodriguez Arevalo. M. L. and Trinidad Villar. M., Certain perticular families of graphicable algebras, Appl. Math. Comput., 246, 416-425, (2014).
8. Rosa. A., On certain valuations of the vertices of a graph, Theory of graphs, Int. Symp. Rome July, 349-355, (1966).

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Published

2022-12-26

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Research Articles