메뉴 건너뛰기




Volumn 309, Issue 18, 2009, Pages 5739-5744

A note on submodular set cover on matroids

Author keywords

Independent sets; Matroid; Set cover

Indexed keywords

MATRIX ALGEBRA; OPTIMIZATION;

EID: 69549090242     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2008.05.019     Document Type: Article
Times cited : (8)

References (17)
  • 5
    • 4243112299 scopus 로고    scopus 로고
    • Approximation algorithm for the directed telephone multicast problem
    • M. Elkin, G. Kortsarz, Approximation algorithm for the directed telephone multicast problem, in: Proc. of ICALP, 2003
    • (2003) Proc. of ICALP
    • Elkin, M.1    Kortsarz, G.2
  • 6
  • 7
    • 0000484665 scopus 로고
    • An algorithm for submodular functions on graphs
    • Frank A. An algorithm for submodular functions on graphs. J. of Algorithms 2 (1981) 328-336
    • (1981) J. of Algorithms , vol.2 , pp. 328-336
    • Frank, A.1
  • 8
    • 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 (1998) 634-652
    • (1998) Journal of the ACM , vol.45 , Issue.4 , pp. 634-652
    • Feige, U.1
  • 9
    • 0021482419 scopus 로고
    • Theory of submodular programs: Fenchel-type min-max theorem and subgradients of submodular functions
    • Fujishige S. Theory of submodular programs: Fenchel-type min-max theorem and subgradients of submodular functions. Mathematical Programming 29 (1984) 348-360
    • (1984) Mathematical Programming , vol.29 , pp. 348-360
    • Fujishige, S.1
  • 10
    • 0034157028 scopus 로고    scopus 로고
    • Approximation algorithms for submodular set cover with applications
    • Fujito T. Approximation algorithms for submodular set cover with applications. IEICE Trans. Inf. & Syst. E83-D 3 (2000) 480-487
    • (2000) IEICE Trans. Inf. & Syst. , vol.E83-D , Issue.3 , pp. 480-487
    • Fujito, T.1
  • 12
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • Grötschel M., Lovász L., and Schrijver A. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica 1 (1981) 169-197
    • (1981) Combinatorica , vol.1 , pp. 169-197
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 13
    • 0000203509 scopus 로고
    • On the ratio of the optimal integral and fractional covers
    • Lovàsz L. On the ratio of the optimal integral and fractional covers. Disc. Math. 13 (1975) 383-390
    • (1975) Disc. Math. , vol.13 , pp. 383-390
    • Lovàsz, L.1
  • 16
    • 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
  • 17
    • 0142011932 scopus 로고
    • Maximizing real-valued submodular functions: Primal and dual heuristics for location problems
    • Wolsey L.A. Maximizing real-valued submodular functions: Primal and dual heuristics for location problems. Mathematics of Operations Research 7 3 (1982) 410-425
    • (1982) Mathematics of Operations Research , vol.7 , Issue.3 , pp. 410-425
    • Wolsey, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.