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A note on graph decimation

  • Azriel Rosenfeld
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 532)

Abstract

To avoid paradoxes in parallel graph rewriting, it is desirable to forbid overlapping instances of a subgraph to be rewritten simultaneously. The selection of maximal sets of nonoverlapping instances corresponds to the selection of maximal independent sets of nodes in a derived graph. This note briefly examines the process of repeatedly selecting such sets of nodes. It shows that doing so “decimates” the graph in the sense that the number of nodes shrinks exponentially; but that unfortunately, the degree of the graph may grow exponentially.

Keywords

Parallel graph rewriting maximal independent sets graph decimation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Azriel Rosenfeld
    • 1
  1. 1.Center for Automation ResearchUniversity of MarylandCollege ParkUSA

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