Cellular Graph Automata. II. Graph and Subgraph Isomorphism, Graph Structure Recognition

@article{Wu1979CellularGA,
  title={Cellular Graph Automata. II. Graph and Subgraph Isomorphism, Graph Structure Recognition},
  author={Angela Y. Wu and Azriel Rosenfeld},
  journal={Inf. Control.},
  year={1979},
  volume={42},
  pages={330-353}
}
  • A. Wu, A. Rosenfeld
  • Published 1 September 1979
  • Mathematics, Computer Science
  • Inf. Control.

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A theory of intrinsic simulations and universality for families of automata networks is developed and a short proof that the family of networks were each node obeys the rule of the ’game of life’ cellular automaton is strongly universal is given.

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A proof technique based on an operation of glueing of networks, which allows to produce complex orbits in large networks from compatible pseudo-orbits in small networks, is developed.

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This paper revisits two classical distributed problems in anonymous networks, namely spanning tree construction and topology recognition, from the point of view of graph covering theory. For both

On the impact of treewidth in the computational complexity of freezing dynamics

TLDR
This paper establishes how treewidth and maximum degree of the underlying graph are key parameters which influence the overall computational complexity of finite freezing automata networks and establishes the hardness result with a fixed set-defiend update rule that is universally hard on any input graph of such families.

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It can be shown that a cellular d-graph automaton can measure various properties of its underlying graph; can detect graph or subgraph isomorphism; and can recognize various basic types of graphs.

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