Approximating clique is almost NP-complete (preliminary version)
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
Adaptation in natural and artificial systems
Adaptation in natural and artificial systems
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Journal of the ACM (JACM)
External memory algorithms
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ESA '98 Proceedings of the 6th Annual European Symposium on Algorithms
Handbook of massive data sets
Proof verification and hardness of approximation problems
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On mining cross-graph quasi-cliques
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Discovering large dense subgraphs in massive graphs
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Extraction and classification of dense communities in the web
Proceedings of the 16th international conference on World Wide Web
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IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
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PAKDD'10 Proceedings of the 14th Pacific-Asia conference on Advances in Knowledge Discovery and Data Mining - Volume Part II
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Proceedings of the VLDB Endowment
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Proceedings of the VLDB Endowment
On the maximum quasi-clique problem
Discrete Applied Mathematics
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Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
Redundancy-aware maximal cliques
Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining
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International Journal of Web Services Research
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We describe techniques that are useful for the detection of dense subgraphs (quasi-cliques) in massive sparse graphs whose vertex set, but not the edge set, fits in RAM. The algorithms rely on efficient semi-external memory algorithms used to preprocess the input and on greedy randomized adaptive search procedures (GRASP) to extract the dense subgraphs. A software platform was put together allowing graphs with hundreds of millions of nodes to be processed. Computational results illustrate the effectiveness of the proposed methods.