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Volumn 4639 LNCS, Issue , 2007, Pages 52-63

Analysis of approximation algorithms for k-set cover using factor-revealing linear programs

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR PROGRAMMING; PROBLEM SOLVING; SET THEORY;

EID: 38149094785     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74240-1_6     Document Type: Conference Paper
Times cited : (4)

References (15)
  • 1
    • 0000301097 scopus 로고
    • A greedy hueristic for the set-covering problem
    • Chvátal, V.: A greedy hueristic for the set-covering problem. Mathematics of Operations Research 4, 233-235 (1979)
    • (1979) Mathematics of Operations Research , vol.4 , pp. 233-235
    • Chvátal, V.1
  • 3
    • 0032108328 scopus 로고    scopus 로고
    • A threshold of ln n for approximating set cover
    • Feige, U.: A threshold of ln n for approximating set cover. Journal of the ACM 45(4), 634-652 (1998)
    • (1998) Journal of the ACM , vol.45 , Issue.4 , pp. 634-652
    • Feige, U.1
  • 4
    • 0027832218 scopus 로고
    • A modified greedy heuristic for the set covering problem with improved worst case bound
    • Goldschmidt, O., Hochbaum, D., Yu, G.: A modified greedy heuristic for the set covering problem with improved worst case bound. Information Processing Letters 48, 305-310 (1993)
    • (1993) Information Processing Letters , vol.48 , pp. 305-310
    • Goldschmidt, O.1    Hochbaum, D.2    Yu, G.3
  • 6
    • 84947943396 scopus 로고    scopus 로고
    • Approximating k-set cover and complementary graph coloring
    • Cunningham, W.H, Queyranne, M, McCormick, S.T, eds, Integer Programming and Combinatorial Optimization, Springer, Heidelberg
    • Halldórsson, M.M.: Approximating k-set cover and complementary graph coloring. In: Cunningham, W.H., Queyranne, M., McCormick, S.T. (eds.) Integer Programming and Combinatorial Optimization. LNCS, vol. 1084, pp. 118-131. Springer, Heidelberg (1996)
    • (1996) LNCS , vol.1084 , pp. 118-131
    • Halldórsson, M.M.1
  • 7
    • 33646508996 scopus 로고    scopus 로고
    • On the complexity of approximating k-set packing
    • Hazan, E., Safra, S., Schwartz, O.: On the complexity of approximating k-set packing. Computational Complexity 15(1), 20-39 (2006)
    • (2006) Computational Complexity , vol.15 , Issue.1 , pp. 20-39
    • Hazan, E.1    Safra, S.2    Schwartz, O.3
  • 8
    • 0002980001 scopus 로고
    • On the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio of heuristics for packing problems
    • Hurkens, C.A.J., Schrijver, A.: On the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio of heuristics for packing problems. SIAM Journal on Discrete Mathematics 2(1), 68-72 (1989)
    • (1989) SIAM Journal on Discrete Mathematics , vol.2 , Issue.1 , pp. 68-72
    • Hurkens, C.A.J.1    Schrijver, A.2
  • 9
    • 3142755912 scopus 로고    scopus 로고
    • Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP
    • Jain, K., Mahdian, M., Markakis, E., Saberi, A., Vazirani, V.V.: Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP. Journal of the ACM 50(6), 795-824 (2003)
    • (2003) Journal of the ACM , vol.50 , Issue.6 , pp. 795-824
    • Jain, K.1    Mahdian, M.2    Markakis, E.3    Saberi, A.4    Vazirani, V.V.5
  • 10
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • Johnson, D.S.: Approximation algorithms for combinatorial problems. Journal of Computer and System Sciences 9, 256-278 (1974)
    • (1974) Journal of Computer and System Sciences , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 11
    • 0025855578 scopus 로고
    • Maximum bounded 3-dimensional matching is MAX SNP-complete
    • Kann, V.: Maximum bounded 3-dimensional matching is MAX SNP-complete. Information Processing Letters 37, 27-35 (1991)
    • (1991) Information Processing Letters , vol.37 , pp. 27-35
    • Kann, V.1
  • 12
    • 38149004844 scopus 로고    scopus 로고
    • Levin, A.: Approximating the unweighted k-set cover problem: greedy meets local search. In: Erlebach, T., Kaklamanis, C. (eds.) WAOA 2006. LNCS, 4368, pp. 290-310. Springer, Heidelberg (2007)
    • Levin, A.: Approximating the unweighted k-set cover problem: greedy meets local search. In: Erlebach, T., Kaklamanis, C. (eds.) WAOA 2006. LNCS, vol. 4368, pp. 290-310. Springer, Heidelberg (2007)
  • 13
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • Lovász, L.: On the ratio of optimal integral and fractional covers. Discrete Mathematics 13, 383-390 (1975)
    • (1975) Discrete Mathematics , vol.13 , pp. 383-390
    • Lovász, L.1
  • 14
    • 0000489883 scopus 로고    scopus 로고
    • A tight analysis of the greedy algorithm for set cover
    • Slavík, P.: A tight analysis of the greedy algorithm for set cover. Journal of Algorithms 25, 237-254 (1997)
    • (1997) Journal of Algorithms , vol.25 , pp. 237-254
    • Slavík, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.