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An Algorithm for Counting the Fixed Point Orbits of an AND-OR Dynamical System with Symmetric Positive Dependency Graph

Author

Listed:
  • Mauro Mezzini

    (Department of Education, Roma Tre University, 00154 Roma, Italy)

  • Fernando L. Pelayo

    (Escuela Superior de Ingenieria Informatica de Albacete, Computing Systems Department, University of Castilla-La Mancha, 02071 Albacete, Spain)

Abstract

In this paper we present an algorithm which counts the number of fixed point orbits of an AND-OR dynamical system. We further extend the algorithm in order to list all its fixed point orbits (FPOs) in polynomial time on the number of FPOs of the system.

Suggested Citation

  • Mauro Mezzini & Fernando L. Pelayo, 2020. "An Algorithm for Counting the Fixed Point Orbits of an AND-OR Dynamical System with Symmetric Positive Dependency Graph," Mathematics, MDPI, vol. 8(9), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1611-:d:415454
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    References listed on IDEAS

    as
    1. Barrett, Chris L & Chen, William Y.C & Zheng, Michelle J, 2004. "Discrete dynamical systems on graphs and Boolean functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 487-497.
    2. Juan A. Aledo & Silvia Martinez & Jose C. Valverde, 2015. "Parallel Dynamical Systems over Graphs and Related Topics: A Survey," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-14, March.
    Full references (including those not matched with items on IDEAS)

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