메뉴 건너뛰기




Volumn 113, Issue 2-3, 2001, Pages 183-194

A strongly polynomial time algorithm for a constrained submodular optimization problem

Author keywords

Base polyhedron; Max flow; Min cost spanning tree; Submodular function

Indexed keywords


EID: 0035887946     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(00)00285-7     Document Type: Article
Times cited : (1)

References (17)
  • 1
    • 0018442681 scopus 로고
    • The sharing problem
    • Brown J.R. The sharing problem. Oper. Res. 27:1979;324-340.
    • (1979) Oper. Res. , vol.27 , pp. 324-340
    • Brown, J.R.1
  • 2
    • 51249177040 scopus 로고
    • On submodular function minimization
    • Cunningham W.H. On submodular function minimization. Combinatorica. 5(3):1985;185-192.
    • (1985) Combinatorica , vol.5 , Issue.3 , pp. 185-192
    • Cunningham, W.H.1
  • 3
    • 0000891810 scopus 로고
    • Algorithm for a solution of a problem of maximum flow in a network with power estimation
    • Dinic E.A. Algorithm for a solution of a problem of maximum flow in a network with power estimation. Sov. Math. Dokl. 2:1970;1277-1280.
    • (1970) Sov. Math. Dokl. , vol.2 , pp. 1277-1280
    • Dinic, E.A.1
  • 4
    • 0002167079 scopus 로고
    • Submodular functions, matroids, and certain polyhedra
    • R.K. Guy, H. Hanoni, N. Sauer, & J. Schonheim. New York: Gordon and Breach
    • Edmonds J. Submodular functions, matroids, and certain polyhedra. Guy R.K., Hanoni H., Sauer N., Schonheim J. Combinatorial Structures and their Applications. 1970;69-87 Gordon and Breach, New York.
    • (1970) Combinatorial Structures and Their Applications , pp. 69-87
    • Edmonds, J.1
  • 5
    • 0015330635 scopus 로고
    • Theoretical improvements in algorithmic efficiency for network flow problems
    • Edmonds J., Karp R.M. Theoretical improvements in algorithmic efficiency for network flow problems. J. ACM. 19:1972;248-264.
    • (1972) J. ACM , vol.19 , pp. 248-264
    • Edmonds, J.1    Karp, R.M.2
  • 7
    • 0020872614 scopus 로고
    • Submodular systems and related topics
    • Fujishige S. Submodular systems and related topics. Math. Programming Study. 22:1984;113-131.
    • (1984) Math. Programming Study , vol.22 , pp. 113-131
    • Fujishige, S.1
  • 9
    • 0342541293 scopus 로고
    • Towards equitable distribution via proportional equity constraints
    • Hall N.G., Vohra R.V. Towards equitable distribution via proportional equity constraints. Math. Programming. 58:1993;287-294.
    • (1993) Math. Programming , vol.58 , pp. 287-294
    • Hall, N.G.1    Vohra, R.V.2
  • 10
    • 0032131573 scopus 로고    scopus 로고
    • A submodular optimization problem with side constraints
    • Hartvigsen D. A submodular optimization problem with side constraints. Math. Oper. Res. 23(3):1998;661-679.
    • (1998) Math. Oper. Res. , vol.23 , Issue.3 , pp. 661-679
    • Hartvigsen, D.1
  • 11
    • 0347496172 scopus 로고
    • Gröbner bases in integer programming
    • Hosten H., Thomas R.R. Gröbner bases in integer programming. Optima. 48:1995;1, 3-5.
    • (1995) Optima , vol.48 , pp. 1
    • Hosten, H.1    Thomas, R.R.2
  • 14
    • 0002716901 scopus 로고
    • Submodular functions and convexity
    • A. Machem, M. Grotschel, & B. Korte. Berlin: Springer
    • Lovasz L. Submodular functions and convexity. Machem A., Grotschel M., Korte B. Mathematical Programming - The State of the Art. 1983;235-257 Springer, Berlin.
    • (1983) Mathematical Programming - The State of the Art , pp. 235-257
    • Lovasz, L.1
  • 15
    • 0002836025 scopus 로고    scopus 로고
    • Minimizing symmetric submodular functions
    • Queyranne M. Minimizing symmetric submodular functions. Math. Programming. 82:1998;3-12.
    • (1998) Math. Programming , vol.82 , pp. 3-12
    • Queyranne, M.1
  • 17
    • 0022226781 scopus 로고
    • Duality for balanced submodular flows
    • Zimmerman U. Duality for balanced submodular flows. Discrete Appl. Math. 15:1986;365-376.
    • (1986) Discrete Appl. Math. , vol.15 , pp. 365-376
    • Zimmerman, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.