Color Graphs: An Efficient Model For Two-Dimensional Cellular Automata Linear Rules

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Two-dimensional nine neighbor hood rectangular Cellular Automata rules can be modeled using many different techniques like Rule matrices, State Transition Diagrams, Boolean functions, Algebraic Normal Form etc. In this paper, a new model is introduced using color graphs to model all the 512 linear rules. The graph theoretic properties therefore studied in this paper simplifies the analysis of all linear rules in comparison with other ways of its study.
14 pages, presented at Orissa Mathematical Society Conference, 2008

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Logic in Computer Science

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http://salesiana.dossiersoluciones.com/handle/123456789/155754

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3626
 http://arxiv.org/abs/0802.3626

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arXiv