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Volumn 25, Issue 4, 1999, Pages 169-174

On approximation of the submodular set cover problem

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; HEURISTIC METHODS; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING;

EID: 0033356670     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(99)00045-0     Document Type: Article
Times cited : (25)

References (15)
  • 4
    • 0000301097 scopus 로고
    • A greedy heuristic for the set-covering problem
    • Chvátal V. A greedy heuristic for the set-covering problem. Math. Oper. Res. 4(3):1979;233-235.
    • (1979) Math. Oper. Res. , vol.4 , Issue.3 , pp. 233-235
    • Chvátal, V.1
  • 5
    • 0000951232 scopus 로고
    • Worst-case analysis of greedy heuristics for integer programming with nonnegative data
    • Dobson G. Worst-case analysis of greedy heuristics for integer programming with nonnegative data. Math. Oper. Res. 7(4):1982;515-531.
    • (1982) Math. Oper. Res. , vol.7 , Issue.4 , pp. 515-531
    • Dobson, G.1
  • 7
    • 21444455977 scopus 로고    scopus 로고
    • A unified local ratio approximation of node-deletion problems
    • in: ESA'96, 4th European Symposium on Algorithms, Springer, Berlin
    • T. Fujito, A unified local ratio approximation of node-deletion problems, in: ESA'96, 4th European Symposium on Algorithms, Lecture Notes in Computer Science, Vol. 1136, Springer, Berlin, 1996, pp. 167-178.
    • (1996) Lecture Notes in Computer Science , vol.1136 , pp. 167-178
    • Fujito, T.1
  • 8
    • 0000253416 scopus 로고
    • Approximation algorithms for the set covering and vertex cover problems
    • Hochbaum D.S. Approximation algorithms for the set covering and vertex cover problems. SIAM J. Comput. 11:1982;555-556.
    • (1982) SIAM J. Comput. , vol.11 , pp. 555-556
    • Hochbaum, D.S.1
  • 9
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • Johnson D.S. Approximation algorithms for combinatorial problems. J. Comput. System Sci. 9:1974;256-278.
    • (1974) J. Comput. System Sci. , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 10
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • in: R.E. Miller, J.W. Thatcher (Eds.), Plenum Press, New York
    • R.M. Karp, Reducibility among combinatorial problems, in: R.E. Miller, J.W. Thatcher (Eds.), Complexity of Computer Computations, Plenum Press, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 12
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • Lovász L. On the ratio of optimal integral and fractional covers. Discrete Math. 13:1975;383-390.
    • (1975) Discrete Math. , vol.13 , pp. 383-390
    • Lovász, L.1
  • 13
    • 0002716901 scopus 로고
    • Submodular functions and convexity
    • in: A. Bachem, M. Grötschel, B. Korte (Eds.), Springer, Berlin
    • L. Lovász, Submodular functions and convexity, in: A. Bachem, M. Grötschel, B. Korte (Eds.), Mathematical Programming - The State of the Art, Springer, Berlin, 1983, pp. 235-257.
    • (1983) Mathematical Programming - The State of the Art , pp. 235-257
    • Lovász, L.1
  • 14
    • 0000990453 scopus 로고    scopus 로고
    • Improved performance of the greedy algorithm for partial cover
    • Slavík P. Improved performance of the greedy algorithm for partial cover. Inform. Process. Lett. 64(5):1997;251-254.
    • (1997) Inform. Process. Lett. , vol.64 , Issue.5 , pp. 251-254
    • Slavík, P.1
  • 15
    • 51249182537 scopus 로고
    • An analysis of the greedy algorithm for the submodular set covering problem
    • Wolsey L.A. An analysis of the greedy algorithm for the submodular set covering problem. Combinatorica. 2(4):1982;385-393.
    • (1982) Combinatorica , vol.2 , Issue.4 , pp. 385-393
    • Wolsey, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.