Graph partition for matching

  • Authors:
  • Huaijun Qiu;Edwin R. Hancock

  • Affiliations:
  • Department of Computer Science, University of York, Heslington, York, UK;Department of Computer Science, University of York, Heslington, York, UK

  • Venue:
  • GbRPR'03 Proceedings of the 4th IAPR international conference on Graph based representations in pattern recognition
  • Year:
  • 2003

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Abstract

Although inexact graph-matching is a problem of potentially exponential complexity, the problem may be simplified by decomposing the graphs to be matched into smaller subgraphs. If this is done, then the process may cast into a hierarchical framework or cast in a way which is amenable to parallel computation. In this paper we demonstrate how the Fiedler-vector can be used to partition graphs for the purposes of decomposition. We show how the resulting subgraphs can be matched using a variety of algorithms. We demonstrate the utility of the resulting graph-matching method on both real work and synthetic data. Here it proves to provide results which are comparable with a number of state-of-the-art graph matching algorithms.