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Pulse Processes in Networks and Evolution Algebras

Author

Listed:
  • Julio Becerra

    (Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain)

  • María Beltrán

    (Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain)

  • M. Victoria Velasco

    (Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain)

Abstract

In this paper, we merge two theories: that of pulse processes on weighted digraphs and that of evolution algebras. We enrich both of them. In fact, we obtain new results in the theory of pulse processes thanks to the new algebraic tool that we introduce in its framework, also extending the theory of evolution algebras, as well as its applications.

Suggested Citation

  • Julio Becerra & María Beltrán & M. Victoria Velasco, 2020. "Pulse Processes in Networks and Evolution Algebras," Mathematics, MDPI, vol. 8(3), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:387-:d:330518
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    References listed on IDEAS

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    1. Ringeisen, Richard D. & Shingledecker, Clark A., 1981. "Combined stress and human performance: a weighted digraph model," Mathematical Social Sciences, Elsevier, vol. 1(3), pages 297-305, May.
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    Cited by:

    1. Farrukh Mukhamedov & Izzat Qaralleh, 2023. "On Extendibility of Evolution Subalgebras Generated by Idempotents," Mathematics, MDPI, vol. 11(12), pages 1-18, June.

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