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Algorithm 457: finding all cliques of an undirected graph
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LATIN '02 Proceedings of the 5th Latin American Symposium on Theoretical Informatics
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Proceedings of the eleventh ACM SIGKDD international conference on Knowledge discovery in data mining
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Theoretical Computer Science - Computing and combinatorics
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ECML PKDD '08 Proceedings of the European conference on Machine Learning and Knowledge Discovery in Databases - Part II
Note: A note on the problem of reporting maximal cliques
Theoretical Computer Science
Proceedings of the Second ACM International Conference on Web Search and Data Mining
Efficient Computation of Diverse Query Results
ICDE '08 Proceedings of the 2008 IEEE 24th International Conference on Data Engineering
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The VLDB Journal — The International Journal on Very Large Data Bases
Finding maximal cliques in massive networks by H*-graph
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ICDE '11 Proceedings of the 2011 IEEE 27th International Conference on Data Engineering
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Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining
Finding maximal cliques in massive networks
ACM Transactions on Database Systems (TODS)
Truss decomposition in massive networks
Proceedings of the VLDB Endowment
Fast algorithms for maximal clique enumeration with limited memory
Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining
Triangle listing in massive networks
ACM Transactions on Knowledge Discovery from Data (TKDD) - Special Issue on the Best of SIGKDD 2011
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Recent research efforts have made notable progress in improving the performance of (exhaustive) maximal clique enumeration (MCE). However, existing algorithms still suffer from exploring the huge search space of MCE. Furthermore, their results are often undesirable as many of the returned maximal cliques have large overlapping parts. This redundancy leads to problems in both computational efficiency and usefulness of MCE. In this paper, we aim at providing a concise and complete summary of the set of maximal cliques, which is useful to many applications. We propose the notion of τ-visible MCE to achieve this goal and design algorithms to realize the notion. Based on the refined output space, we further consider applications including an efficient computation of the top-k results with diversity and an interactive clique exploration process. Our experimental results demonstrate that our approach is capable of producing output of high usability and our algorithms achieve superior efficiency over classic MCE algorithms.