Abstract | ||
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Many computer vision and patter recognition problems are intimately related to the maximum clique problem. Due to the intractability of this problem, besides the development of heuristics, a research direction consists in trying to find good bounds on the clique number of graphs. This paper introduces a new spectral upper bound on the clique number of graphs, which is obtained by exploiting an invariance of a continuous characterization of the clique number of graphs introduced by Motzkin and Straus. Experimental results on random graphs show the superiority of our bounds over the standard literature. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1007/978-3-642-14980-1_67 | SSPR/SPR |
Keywords | Field | DocType |
random graph,maximum clique problem,research direction,good bound,clique number,computer vision,new spectral,patter recognition problem,standard literature,continuous characterization,upper bound | Discrete mathematics,Combinatorics,Indifference graph,Clique graph,Chordal graph,Clique-sum,Treewidth,Clique (graph theory),Mathematics,Clique problem,Split graph | Conference |
Volume | ISSN | ISBN |
6218 | 0302-9743 | 3-642-14979-0 |
Citations | PageRank | References |
0 | 0.34 | 17 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Samuel Rota Bulò | 1 | 564 | 33.69 |
Marcello Pelillo | 2 | 1888 | 150.33 |