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Abstract
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| This paper describes a new very efficient branch-and-bound exact maximum clique algorithm BBMCSP, designed for large and massive sparse graphs which appear frequently in real life problems from different fields. State-of-the-art exact maximum clique algorithms encode the adjacency matrix in full but when dealing with sparse graphs some form of compression is required. The new algorithm is based on a leading bit-parallel non-sparse solver but employs a novel sparse encoding for the adjacency matrix. Moreover, it also improves on recent optimizations proposed in literature for the sparse case such as core-based bounds. Reported results show that it is several orders of magnitude better than state-of-the-art. Moreover, a number of real networks with many millions of nodes are solved in a few seconds. | |
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International
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Si |
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JCR
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Si |
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Title
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Computers & Operations Research |
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ISBN
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0305-0548 |
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Impact factor JCR
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1,988 |
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Impact info
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Q1, Datos JCR del año 2015 |
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Volume
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10.1016/j.cor.2015.07.013 |
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Journal number
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66 |
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From page
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81 |
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To page
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94 |
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Month
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SIN MES |
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Ranking
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Area: ENGINEERING, INDUSTRIAL (11/44-Q1) Area: OPERATIONS RESEARCH & MANAGEMENT SCIENCE (19/82-Q1) |