Color Graphs: An Efficient Model For Two-Dimensional Cellular Automata Linear Rules
Logic in Computer Science
2008-02-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0802.3626,
title = {Color Graphs: An Efficient Model For Two-Dimensional Cellular Automata Linear Rules},
author = {Birendra Kumar Nayak and Sudhakar Sahoo and Sushant Kumar Rout},
journal= {arXiv preprint arXiv:0802.3626},
year = {2008}
}
Comments
14 pages, presented at Orissa Mathematical Society Conference, 2008