1. Similarity matrices for colored graphs.
- Author
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Van Dooren, Paul and Fraikin, Catherine
- Subjects
- *
MATRICES (Mathematics) , *GRAPHIC methods , *MATHEMATICAL transformations , *SINOATRIAL node , *MATHEMATICAL optimization , *PAPER , *MATHEMATICAL mappings , *DATA mining , *GRAPH algorithms - Abstract
In this paper, we extend the notion of similarity matrix, which has been used to define similarity between nodes of two graphs, to the case of colored graphs, where the coloring is either on the nodes or on the edges of both graphs. The proposed method tries to find the optimal matching between the nodes or edges of both graphs but only performs the comparison when their colors are the same. The proposed cost function nevertheless uses the connectivity between all nodes and edges of both graphs. We then also show how to extend this to the notion of low rank similarity matrix, by defining it as a constrained optimization problem. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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