On the Relation Between the Common Labelling and the Median Graph
Abstract
In structural pattern recognition, given a set of graphs, the computation of a Generalized Median Graph is a well known problem. Some methods approach the problem by assuming a relation between the Generalized Median Graph and the Common Labelling problem. However, this relation has still not been formally proved. In this paper, we analyse such relation between both problems. The main result proves that the cost of the common labelling upper-bounds the cost of the median with respect to the given set. In addition, we show that the two problems are equivalent in some cases.
Keywords
Cite
@article{arxiv.1210.8262,
title = {On the Relation Between the Common Labelling and the Median Graph},
author = {Nicola Rebagliati and Albert Solé-Ribalta and Marcello Pelillo and Francesc Serratosa},
journal= {arXiv preprint arXiv:1210.8262},
year = {2012}
}
Comments
12 pages, 2 figures. Published in Structural, Syntactic, And Statistical Pattern Recognition Lecture Notes in Computer Science, 2012. The original publication is available at http://www.springerlink.com/content/e524g4483g146383/