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On the Rank and Periodic Rank of Finite Dynamical Systems

2018
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Electronic Journal of Combinatorics
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A finite dynamical system is a function $f : A^n \to A^n$ where $A$ is a finite alphabet, used to model a network of interacting entities. The main feature of a finite dynamical system is its interaction graph, which indicates which local functions depend on which variables; the interaction graph is a qualitative representation of the interactions amongst entities on the network. The rank of a finite dynamical system is the cardinality of its image; the periodic rank is the number of its

doi:10.37236/7017
fatcat:ou7clylir5gelcypa3nplc54qi