메뉴 건너뛰기




Volumn , Issue , 2008, Pages 697-706

Submodular approximation: Sampling-based algorithms and lower bounds

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMABILITY; CARDINALITY; CLASSICAL COMPUTERS; GRAPH CUTS; IF THERE ARES; LOAD BALANCING; LOWER BOUNDS; MAKESPAN; OBJECTIVE FUNCTIONS; POLYNOMIAL NUMBERS; SPECIAL STRUCTURES; SUBMODULAR; SUBMODULAR FUNCTION MINIMIZATIONS; SUBMODULAR FUNCTIONS; UPPER AND LOWER BOUNDS;

EID: 57949110318     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2008.66     Document Type: Conference Paper
Times cited : (51)

References (33)
  • 3
    • 38049090315 scopus 로고    scopus 로고
    • Maximizing a submodular set function subject to a matroid constraint
    • C. Chekuri, G. Calinescu, M. Pal, and J. Vondrak. Maximizing a submodular set function subject to a matroid constraint. In IPCO, pages 182-196, 2007.
    • (2007) IPCO , pp. 182-196
    • Chekuri, C.1    Calinescu, G.2    Pal, M.3    Vondrak, J.4
  • 4
    • 0022076243 scopus 로고
    • Minimum, cuts, modular functions, and matroid polyhedra
    • W. Cunningham. Minimum, cuts, modular functions, and matroid polyhedra. Networks, 15:205-215, 1985.
    • (1985) Networks , vol.15 , pp. 205-215
    • Cunningham, W.1
  • 5
    • 46749125782 scopus 로고    scopus 로고
    • Maximizing non-monotone submodular functions
    • U. Feige, V. Mirrokni, and J. Vondrak. Maximizing non-monotone submodular functions. In FOCS, 2007.
    • (2007) FOCS
    • Feige, U.1    Mirrokni, V.2    Vondrak, J.3
  • 6
    • 0018020371 scopus 로고
    • Polymatroid dependence structure of a set of random, variables
    • S. Fujishige. Polymatroid dependence structure of a set of random, variables. Info. and Control, 39:55-72, 1978.
    • (1978) Info. and Control , vol.39 , pp. 55-72
    • Fujishige, S.1
  • 7
    • 85013625593 scopus 로고
    • Computational complexity of approximation algorithms for combinatorial problems
    • Proc. 8th Intl. Symp. on Math. Foundations of Comput. Sci, Springer-Verlag
    • G. Gens and E. Levner. Computational complexity of approximation algorithms for combinatorial problems. In Proc. 8th Intl. Symp. on Math. Foundations of Comput. Sci. Lecture Notes in Comput. Sci. 74, Springer-Verlag, 1979.
    • (1979) Lecture Notes in Comput. Sci , vol.74
    • Gens, G.1    Levner, E.2
  • 9
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • M. Grötschel, L. Lovász, and A. Schrijver. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, 1:169-197, 1981.
    • (1981) Combinatorica , vol.1 , pp. 169-197
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 14
    • 0023170393 scopus 로고
    • Using dual approximation algorithms for scheduling problems: Theoretical and practical results
    • D. S. Hochbaum and D. B. Shmoys. Using dual approximation algorithms for scheduling problems: theoretical and practical results. J. ACM, 34:144-162, 1987.
    • (1987) J. ACM , vol.34 , pp. 144-162
    • Hochbaum, D.S.1    Shmoys, D.B.2
  • 15
    • 0034138344 scopus 로고    scopus 로고
    • The quickest transshipment problem
    • B. Hoppe and É. Tardos. The quickest transshipment problem. Math. Oper. Res., 25(1):36-62, 2000.
    • (2000) Math. Oper. Res , vol.25 , Issue.1 , pp. 36-62
    • Hoppe, B.1    Tardos, E.2
  • 16
    • 0141534137 scopus 로고    scopus 로고
    • A faster scaling algorithm for minimizing submodular functions
    • S. Iwata. A faster scaling algorithm for minimizing submodular functions. SIAM J. Comput, 32:833-840, 2003.
    • (2003) SIAM J. Comput , vol.32 , pp. 833-840
    • Iwata, S.1
  • 17
    • 34547428890 scopus 로고    scopus 로고
    • Submodular function minimization
    • S. Iwata. Submodular function minimization. Math Programming, 112:45-64, 2008.
    • (2008) Math Programming , vol.112 , pp. 45-64
    • Iwata, S.1
  • 18
    • 0000335630 scopus 로고    scopus 로고
    • S. Iwata, L. Fleischer, and S. Fujishige. A combinatorial strongly polynomial algorithm for minimizing submodular functions. J. ACM, 48(4):76.1-777, 200.1.
    • S. Iwata, L. Fleischer, and S. Fujishige. A combinatorial strongly polynomial algorithm for minimizing submodular functions. J. ACM, 48(4):76.1-777, 200.1.
  • 19
    • 0000651166 scopus 로고    scopus 로고
    • Multicommodity max-flow mincut theorems and their use in designing approximation algorithms
    • F. Leighton and S. Rao. Multicommodity max-flow mincut theorems and their use in designing approximation algorithms. Journal of the ACM, 46, 1999.
    • (1999) Journal of the ACM , vol.46
    • Leighton, F.1    Rao, S.2
  • 20
    • 0000438412 scopus 로고
    • Approximation algorithms for scheduling unrelated parallel machines
    • J. K. Lenstra, D. B. Shmoys, and E. Tardos. Approximation algorithms for scheduling unrelated parallel machines. Math. Programming, 46:259-271, 1990.
    • (1990) Math. Programming , vol.46 , pp. 259-271
    • Lenstra, J.K.1    Shmoys, D.B.2    Tardos, E.3
  • 22
    • 0000095809 scopus 로고
    • An analysis of the approximations for maximizing submodular set functions
    • G. Nemhauser, L. Wolsey, and M. Fisher. An analysis of the approximations for maximizing submodular set functions. Mathematical Programming, 14:265-294, 1978.
    • (1978) Mathematical Programming , vol.14 , pp. 265-294
    • Nemhauser, G.1    Wolsey, L.2    Fisher, M.3
  • 23
    • 51949112600 scopus 로고    scopus 로고
    • A faster strongly polynomial time algorithm for submodular function minimization
    • J. B. Orlin. A faster strongly polynomial time algorithm for submodular function minimization. In IPCO, 2007.
    • (2007) IPCO
    • Orlin, J.B.1
  • 24
    • 0002836025 scopus 로고    scopus 로고
    • Minimizing symmetric submodular functions
    • M. Queyranne. Minimizing symmetric submodular functions. Math. Programming, 82:3-12, 1998.
    • (1998) Math. Programming , vol.82 , pp. 3-12
    • Queyranne, M.1
  • 25
    • 57049141635 scopus 로고    scopus 로고
    • Optimal hierarchical decompositions for congestion minimization in networks
    • H. Räcke. Optimal hierarchical decompositions for congestion minimization in networks. In Proc. 40th ACM Symp. on Theory of Computing, pages 255-263, 2008.
    • (2008) Proc. 40th ACM Symp. on Theory of Computing , pp. 255-263
    • Räcke, H.1
  • 26
    • 0034311821 scopus 로고    scopus 로고
    • A combinatorial algorithm, minimizing submodular functions in strongly polynomial time
    • A. Schrijver. A combinatorial algorithm, minimizing submodular functions in strongly polynomial time. J. of Combinatorial Theory, Ser. B, 80(2):346-355, 2000.
    • (2000) J. of Combinatorial Theory, Ser. B , vol.80 , Issue.2 , pp. 346-355
    • Schrijver, A.1
  • 27
    • 0142029543 scopus 로고    scopus 로고
    • A note on maximizing a submodular set function subject to a knapsack constraint
    • M. Sviridenko. A note on maximizing a submodular set function subject to a knapsack constraint. Oper. Res. Lett., 32(1):41-43, 2004.
    • (2004) Oper. Res. Lett , vol.32 , Issue.1 , pp. 41-43
    • Sviridenko, M.1
  • 28
    • 57949085146 scopus 로고    scopus 로고
    • Z. Svitkina and L. Fleischer. Submodular approximation: Sampling-based algorithms and lower bounds. arXiv:0805.1071 [cs.DS], 2008.
    • Z. Svitkina and L. Fleischer. Submodular approximation: Sampling-based algorithms and lower bounds. arXiv:0805.1071 [cs.DS], 2008.
  • 31
    • 77952372737 scopus 로고    scopus 로고
    • Approximation algorithms for prize collecting steiner forest problems with submodular penalty functions
    • C. Swamy, Y. Sharma, and D. Williamson. Approximation algorithms for prize collecting steiner forest problems with submodular penalty functions. In Proc. 18th ACM Symp. on Discrete Algorithms, pages 1275-1284, 2007.
    • (2007) Proc. 18th ACM Symp. on Discrete Algorithms , pp. 1275-1284
    • Swamy, C.1    Sharma, Y.2    Williamson, D.3
  • 32
    • 51249182537 scopus 로고
    • An analysis of the greedy algorithm for the submodular set covering problem
    • L. Wolsey. An analysis of the greedy algorithm for the submodular set covering problem. Combinatorica, 2(4):385393, 1982.
    • (1982) Combinatorica , vol.2 , Issue.4 , pp. 385393
    • Wolsey, L.1
  • 33
    • 12444255211 scopus 로고    scopus 로고
    • Greedy splitting algorithms for approximating multiway partition problems
    • L. Zhao, H. Nagamochi, and T. Ibaraki. Greedy splitting algorithms for approximating multiway partition problems. Mathematical Programming, 102(1):167-183, 2005.
    • (2005) Mathematical Programming , vol.102 , Issue.1 , pp. 167-183
    • Zhao, L.1    Nagamochi, H.2    Ibaraki, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.