A robust graph partition method from the path-weighted adjacency matrix

  • 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'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
  • Year:
  • 2005

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Abstract

In this paper we develop a new graph representation based on the path-weighted adjacency matrix for characterising global graph structure. The representation is derived from the heat-kernel of the graph. We investigate whether the path-weighted adjacency matrix can be used for the problem of graph partitioning. Here we demonstrate that the method out-performs the use of the adjacency matrix. The main advantage of the new method is that it both preserves partition consistency and shows improved stability to structural error.