A Quadratic Programming Approach to the Graph Edit Distance Problem

In this paper we propose a quadratic programming approach to computing the edit distance of graphs. Whereas the standard edit distance is defined with respect to a minimum-cost edit path between graphs, we introduce the notion of fuzzy edit paths between graphs and provide a quadratic programming formulation for the minimization of fuzzy edit costs. Experiments on real-world graph data demonstrate that our proposed method is able to outperform the standard edit distance method in terms of recognition accuracy on two out of three data sets.

• Type: Conference
• Year: 2007
• Where: GBRPR
• Authors: Michel Neuhaus, Horst Bunke
• Keywords: Edit Distance, Fuzzy Edit, GBRPR 2007, Standard Edit Distance