Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems

Author:

Aledo Juan A.12ORCID,Diaz Luis G.12ORCID,Martinez Silvia12ORCID,Valverde Jose C.12ORCID

Affiliation:

1. Institute of Applied Mathematics in Science and Engineering, Ciudad Real, Spain

2. Department of Mathematics, University of Castilla-La Mancha, Albacete, Spain

Abstract

In this paper, we deal with one of the main computational questions in network models: the predecessor-existence problems. In particular, we solve algebraically such problems in sequential dynamical systems on maxterm and minterm Boolean functions. We also provide a description of the Garden-of-Eden configurations of any system, giving the best upper bound for the number of Garden-of-Eden points.

Funder

Junta de Comunidades de Castilla-La Mancha

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Enumerating periodic orbits in sequential dynamical systems over graphs;Journal of Computational and Applied Mathematics;2022-05

2. Attractors and transient in sequential dynamical systems;International Journal of Computer Mathematics;2019-08-05

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