Abstract
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This paper improves an infra-chromatic bound which is used by the exact branch-andbound maximum clique solver BBMCX (San Segundo et al., 2015) as an upper bound on the clique number for every subproblem. The infra-chromatic bound looks for triplets of colour subsets which cannot contain a 3-clique. As a result, it is tighter than the bound obtained by widely used approximate-colouring algorithms because it can be lower than the chromatic number. The reported results show that our algorithm with the new bound significantly outperforms the state-of-the-art algorithms in a number of structured and uniform random graphs. | |
International
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Si |
JCR
|
Si |
Title
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Informatica-Lithuan |
ISBN
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0868-4952 |
Impact factor JCR
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1,386 |
Impact info
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Q1, Datos JCR del año 2015 |
Volume
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27 |
|
10.15388/Informatica.2016.95 |
Journal number
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2 |
From page
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463 |
To page
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487 |
Month
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ABRIL |
Ranking
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Area: MATHEMATICS APPLIED (47/254-Q1) |