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arXiv · 1701.01895

A Graph Isomorphism Condition and Equivalence of Reaction Systems

Daniela Genova·Hendrik Jan Hoogeboom·Nataša Jonoska
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Abstract

We consider global dynamics of reaction systems as introduced by Ehrenfeucht and Rozenberg. The dynamics is represented by a directed graph, the so-called transition graph, and two reaction systems are considered equivalent if their corresponding transition graphs are isomorphic. We introduce the notion of a skeleton (a one-out graph) that uniquely defines a directed graph. We provide the necessary and sufficient conditions for two skeletons to define isomorphic graphs. This provides a necessary and sufficient condition for two reactions systems to be equivalent, as well as a characterization of the directed graphs that correspond to the global dynamics of reaction systems.

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Daniela Genova, Hendrik Jan Hoogeboom, Nataša Jonoska. 2017-01-07. A Graph Isomorphism Condition and Equivalence of Reaction Systems. https://doi.org/10.1016/j.tcs.2017.05.019

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