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1 Journal of Artificial Intelligence and Soft Computing Research

1 2011

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Network representation of the game of life

Kayama Y., Imamura Y.

Journal of Artificial Intelligence and Soft Computing Research

2011

Vol. 1, No. 3

233--240

The Game of Life (Life) is one of the most famous cellular automata. The main purpose of this article is to present a network representation of Life as an application of the approach proposed in our previous papers. This network representation has made it possible to investigate Life using a network theory. Some well-known Life patterns are illustrated by using the corresponding clustered networks. The visualization of Life’s rest state reveals the underlying tension as a complex network. The typical network parameters show the characteristics of Life as a Wolfram’s class IV rule. In particular, the in-degree distribution of the derived network from a Life’s rest state shows a scale-free nature, which could be related to the evidence of self-organized criticality.