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Graph-Rewriting Automata as a Natural Extension of Cellular Automata

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Adaptive Networks

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

We introduce a framework called graph-rewriting automata to model evolution processes of networks. It is a natural extension of cellular automata in the sense that a fixed lattice space of cellular automata is extended to a dynamic graph structure by introducing local graph-rewriting rules. We consider three different constructions of rule sets to show that various network evolution is possible: hand-coding, evolutionary generation, and exhaustive search. Graph-rewriting automata provide a new tool to describe various complex systems and to approach many scientific problems.

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Author information

Authors and Affiliations

  1. National Institute of Advanced Industrial Science and Technology (AIST), 1-2-1 Namiki, 305-8564, Tsukuba, Ibaraki, Japan

    Kohji Tomita & Haruhisa Kurokawa

  2. Department of Computational Intelligence and Systems Science, Interdisciplinary Graduate School of Science and Technology, Tokyo Institute of Technology, 4259 Nagatsuda, 226-8502, Midori-ku, Yokohama, Japan

    Satoshi Murata

Authors
  1. Kohji Tomita
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  2. Haruhisa Kurokawa
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  3. Satoshi Murata
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Corresponding author

Correspondence to Kohji Tomita .

Editor information

Editors and Affiliations

  1. MPI für Physik Komplexer Systeme, Nöthnitzer Str. 38, Dresden, 01187, Germany

    Thilo Gross

  2. Binghamton University, State University of New York, Binghamton, 13902-6000, U.S.A.

    Hiroki Sayama

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Tomita, K., Kurokawa, H., Murata, S. (2009). Graph-Rewriting Automata as a Natural Extension of Cellular Automata. In: Gross, T., Sayama, H. (eds) Adaptive Networks. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01284-6_14

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  • DOI: https://doi.org/10.1007/978-3-642-01284-6_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01283-9

  • Online ISBN: 978-3-642-01284-6

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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