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A Robust Graph Partition Method from the Path-Weighted Adjacency Matrix

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Book cover Graph-Based Representations in Pattern Recognition (GbRPR 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3434))

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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.

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© 2005 Springer-Verlag Berlin Heidelberg

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Qiu, H., Hancock, E.R. (2005). A Robust Graph Partition Method from the Path-Weighted Adjacency Matrix. In: Brun, L., Vento, M. (eds) Graph-Based Representations in Pattern Recognition. GbRPR 2005. Lecture Notes in Computer Science, vol 3434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31988-7_35

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  • DOI: https://doi.org/10.1007/978-3-540-31988-7_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25270-2

  • Online ISBN: 978-3-540-31988-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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