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Volumn 154, Issue 16, 2006, Pages 2350-2372

An efficient implementation of a quasi-polynomial algorithm for generating hypergraph transversals and its application in joint generation

Author keywords

Dualization; Empty boxes; Frequent sets; Generation algorithms; Hypergraph transversals; Monotone properties

Indexed keywords

BOOLEAN ALGEBRA; COMPUTATIONAL COMPLEXITY; FUNCTIONS; GRAPH THEORY; POLYNOMIALS; PROBLEM SOLVING;

EID: 33747864496     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2006.04.012     Document Type: Article
Times cited : (53)

References (27)
  • 1
    • 0027621699 scopus 로고    scopus 로고
    • R. Agrawal, T. Imielinski, A. Swami, Mining associations between sets of items in massive databases, Proceedings of the 1993 ACM-SIGMOD International Conference, 1993, pp. 207-216.
  • 2
    • 0001371923 scopus 로고    scopus 로고
    • Fast discovery of association rules
    • Fayyad U.M., Piatetsky-Shapiro G., Smyth P., and Uthurusamy R. (Eds), AAAI Press, Menlo Park, CA
    • Agrawal R., Mannila H., Srikant R., Toivonen H., and Verkamo A.I. Fast discovery of association rules. In: Fayyad U.M., Piatetsky-Shapiro G., Smyth P., and Uthurusamy R. (Eds). Advances in Knowledge Discovery and Data Mining (1996), AAAI Press, Menlo Park, CA 307-328
    • (1996) Advances in Knowledge Discovery and Data Mining , pp. 307-328
    • Agrawal, R.1    Mannila, H.2    Srikant, R.3    Toivonen, H.4    Verkamo, A.I.5
  • 4
    • 33745465158 scopus 로고    scopus 로고
    • J. Bailey, T. Manoukian, K. Ramamohanarao, A fast algorithm for computing hypergraph transversals and its application in mining emerging patterns, in: The Proceedings of the Third IEEE International Conference on Data Mining (ICDM), Florida, USA, November 2003, pp. 485-488.
  • 5
    • 33745491410 scopus 로고
    • Complexity of identification and dualization of positive Boolean functions
    • Bioch J.C., and Ibaraki T. Complexity of identification and dualization of positive Boolean functions. Inform. and Comput. 123 (1995) 50-63
    • (1995) Inform. and Comput. , vol.123 , pp. 50-63
    • Bioch, J.C.1    Ibaraki, T.2
  • 7
    • 35048856916 scopus 로고    scopus 로고
    • E. Boros, K. Elbassioni, V. Gurvich, L. Khachiyan, Enumerating minimal dicuts and strongly connected subgraphs and related geometric problems, in: D. Bienstock, G. Nemhauser (Eds.), The 10th Conference on Integer Programming and Combinatorial Optimization (IPCO X), Lecture Notes in Computer Science, vol. 3064, June 2004, pp. 152-162.
  • 8
    • 0036588872 scopus 로고    scopus 로고
    • Dual-bounded generating problems: all minimal integer solutions for a monotone system of linear inequalities
    • Boros E., Elbassioni K., Gurvich V., Khachiyan L., and Makino K. Dual-bounded generating problems: all minimal integer solutions for a monotone system of linear inequalities. SIAM J. Comput. 31 5 (2002) 1624-1643
    • (2002) SIAM J. Comput. , vol.31 , Issue.5 , pp. 1624-1643
    • Boros, E.1    Elbassioni, K.2    Gurvich, V.3    Khachiyan, L.4    Makino, K.5
  • 9
    • 26844553656 scopus 로고    scopus 로고
    • E. Boros, K. Elbassioni, V. Gurvich, L. Khachiyan, K. Makino, An intersection inequality for discrete distributions and related generation problems, in: Automata, Languages and Programming, 30th International Colloqium, ICALP 2003, Lecture Notes in Computer Science, vol. 2719, 2003, pp. 543-555.
  • 10
    • 0035704477 scopus 로고    scopus 로고
    • Dual-bounded generating problems: partial and multiple transversals of a hypergraph
    • Boros E., Gurvich V., Khachiyan L., and Makino K. Dual-bounded generating problems: partial and multiple transversals of a hypergraph. SIAM J. Comput. 30 6 (2001) 2036-2050
    • (2001) SIAM J. Comput. , vol.30 , Issue.6 , pp. 2036-2050
    • Boros, E.1    Gurvich, V.2    Khachiyan, L.3    Makino, K.4
  • 11
    • 84937395334 scopus 로고    scopus 로고
    • E. Boros, V. Gurvich, L. Khachiyan, K. Makino, On the complexity of generating maximal frequent and minimal infrequent sets, in: 19th International Symposium on Theoretical Aspects of Computer Science (STACS), Lecture Notes in Computer Science, vol. 2285, March 2002, pp. 133-141.
  • 14
    • 35448938298 scopus 로고    scopus 로고
    • J. Edmonds, J. Gryz, D. Liang, R.J. Miller, Mining for empty rectangles in large data sets, in: Proceedings of the Eighth International Conference on Database Theory (ICDT), Lecture Notes in Computer Science, vol. 1973, January 2001, pp. 174-188.
  • 15
    • 0000251093 scopus 로고
    • Identifying the minimal transversals of a hypergraph and related problems
    • Eiter T., and Gottlob G. Identifying the minimal transversals of a hypergraph and related problems. SIAM J. Comput. 24 (1995) 1278-1304
    • (1995) SIAM J. Comput. , vol.24 , pp. 1278-1304
    • Eiter, T.1    Gottlob, G.2
  • 16
    • 0000039971 scopus 로고    scopus 로고
    • On the complexity of dualization of monotone disjunctive normal forms
    • Fredman M.L., and Khachiyan L. On the complexity of dualization of monotone disjunctive normal forms. J. Algorithms 21 (1996) 618-628
    • (1996) J. Algorithms , vol.21 , pp. 618-628
    • Fredman, M.L.1    Khachiyan, L.2
  • 17
    • 0030642745 scopus 로고    scopus 로고
    • D. Gunopulos, R. Khardon, H. Mannila, H. Toivonen, Data mining, hypergraph transversals and machine learning, in: Proceedings of the 16th ACM-PODS Conference, 1997, pp. 209-216.
  • 19
    • 0000489637 scopus 로고
    • Nash-solvability of games in pure strategies
    • Gurvich V. Nash-solvability of games in pure strategies. USSR Comput. Math. and Math. Phys. 15 (1975) 357-371
    • (1975) USSR Comput. Math. and Math. Phys. , vol.15 , pp. 357-371
    • Gurvich, V.1
  • 20
    • 17944387346 scopus 로고    scopus 로고
    • On generating the irredundant conjunctive and disjunctive normal forms of monotone Boolean functions
    • Gurvich V., and Khachiyan L. On generating the irredundant conjunctive and disjunctive normal forms of monotone Boolean functions. Discrete Appl. Math. 96-97 (1999) 363-373
    • (1999) Discrete Appl. Math. , vol.96-97 , pp. 363-373
    • Gurvich, V.1    Khachiyan, L.2
  • 21
    • 84957066591 scopus 로고    scopus 로고
    • D.J. Kavvadias, E.C. Stavropoulos, Evaluation of an algorithm for the transversal hypergraph problem, in: Proceedings of the Third Workshop on Algorithm Engineering (WAE'99), Lecture Notes in Computer Science, vol. 1668, 1999, pp. 72-84.
  • 22
    • 0000203994 scopus 로고
    • Generating all maximal independent sets: NP-hardness and polynomial-time algorithms
    • Lawler E., Lenstra J.K., and Rinnooy Kan A.H.G. Generating all maximal independent sets: NP-hardness and polynomial-time algorithms. SIAM J. Comput. 9 (1980) 558-565
    • (1980) SIAM J. Comput. , vol.9 , pp. 558-565
    • Lawler, E.1    Lenstra, J.K.2    Rinnooy Kan, A.H.G.3
  • 23
    • 84880671328 scopus 로고    scopus 로고
    • Discovering interesting holes in data
    • Nagoya, Japan
    • Liu B., Ku L.-P., and Hsu W. Discovering interesting holes in data. Proceedings of the IJCAI (1997), Nagoya, Japan 930-935
    • (1997) Proceedings of the IJCAI , pp. 930-935
    • Liu, B.1    Ku, L.-P.2    Hsu, W.3
  • 24
    • 77952633321 scopus 로고    scopus 로고
    • B. Liu, K. Wang, L.-F. Mun, X.-Z. Qi, Using decision tree induction for discovering holes in data, in: Proceedings of the Fifth Pacific Rim International Conference on Artificial Intelligence, 1998, pp. 182-193.
  • 25
    • 0025252618 scopus 로고
    • A new algorithm for the large empty rectangle problem
    • Orlowski M. A new algorithm for the large empty rectangle problem. Algorithmica 5 1 (1990) 65-73
    • (1990) Algorithmica , vol.5 , Issue.1 , pp. 65-73
    • Orlowski, M.1
  • 26
    • 0001453807 scopus 로고
    • Every one a winner, or how to avoid isomorphism when cataloging combinatorial configurations
    • Read R.C. Every one a winner, or how to avoid isomorphism when cataloging combinatorial configurations. Ann. Discrete Math. 2 (1978) 107-120
    • (1978) Ann. Discrete Math. , vol.2 , pp. 107-120
    • Read, R.C.1


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