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Ring Based Approximation of Graph Edit Distance

  • David B. Blumenthal
  • Sébastien Bougleux
  • Johann Gamper
  • Luc Brun
Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11004)

Abstract

The graph edit distance (\(\mathrm {GED}\)) is a flexible graph dissimilarity measure widely used within the structural pattern recognition field. A widely used paradigm for approximating \(\mathrm {GED}\) is to define local structures rooted at the nodes of the input graphs and use these structures to transform the problem of computing \(\mathrm {GED}\) into a linear sum assignment problem with error correction (\(\mathrm {LSAPE}\)). In the literature, different local structures such as incident edges, walks of fixed length, and induced subgraphs of fixed radius have been proposed. In this paper, we propose to use rings as local structure, which are defined as collections of nodes and edges at fixed distances from the root node. We empirically show that this allows us to quickly compute a tight approximation of \(\mathrm {GED}\).

Keywords

Graph edit distance Graph matching Upper bounds 
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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Faculty of Computer ScienceFree University of Bozen-BolzanoBolzanoItaly
  2. 2.Normandie Univ, UNICAEN, ENSICAEN, CNRS, GREYCCaenFrance

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