Exploration of the labelling space given graph edit distance costs

  • Authors:
  • Albert Solé-Ribalta;Francesc Serratosa

  • Affiliations:
  • Universitat Rovira i Virgili, Departament d'Enginyeria Informàtica i Matemàtiques, Spain;Universitat Rovira i Virgili, Departament d'Enginyeria Informàtica i Matemàtiques, Spain

  • Venue:
  • GbRPR'11 Proceedings of the 8th international conference on Graph-based representations in pattern recognition
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

Graph Edit Distance is the most widely used measure of similarity between attributed graphs. Given a pair of graphs, it obtains a value of their similarity and also a path that transforms one graph into the other through edit operations. This path can be expressed as a labelling between nodes of both graphs. Important parameters of this measure are the costs of edit operations. In this article, we present new properties of the Graph Edit Distance and we show that its minimization lead to a few different labellings and so, most of the labellings in the labelling space cannot be obtained. Moreover, we present a method that using some of the new properties of the Graph Edit Distance speeds up the computation of all possible labellings.