PT Journal
AU Miquel Ferrer
   Ernest Valveny
   F. Serratosa
TI Median Graphs: A Genetic  Approach based on New Theoretical Properties
SO Pattern Recognition
JI PR
PY 2009
BP 2003–2012
VL 42
IS 9
DI http://dx.doi.org/10.1016/j.patcog.2009.01.034
DE Median graph; Genetic search; Maximum common subgraph; Graph matching; Structural pattern recognition
AB Given a set of graphs, the median graph has been theoretically presented as a useful concept to infer a representative of the set. However, the computation of the median graph is a highly complex task and its practical application has been very limited up to now. In this work we present two major contributions. On one side, and from a theoretical point of view, we show new theoretical properties of the median graph. On the other side, using these new properties, we present a new approximate algorithm based on the genetic search, that improves the computation of the median graph. Finally, we perform a set of experiments on real data, where none of the existing algorithms for the median graph computation could be applied up to now due to their computational complexity. With these results, we show how the concept of the median graph can be used in real applications and leaves the box of the only-theoretical concepts, demonstrating, from a practical point of view, that can be a useful tool to represent a set of graphs.
ER