메뉴 건너뛰기




Volumn 95, Issue 3, 2003, Pages 475-491

Primal separation for 0/1 polytopes

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; GRAPH THEORY; OPTIMIZATION; POLYNOMIALS;

EID: 33751109270     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-002-0309-y     Document Type: Article
Times cited : (7)

References (35)
  • 2
    • 0004115996 scopus 로고
    • Prentice Hall Inc., Englewood Cliffs, NJ, Theory, algorithms, and applications
    • Ahuja, R.K., Magnanti, T.L., Orlin. J.B.: Network Flows. Prentice Hall Inc., Englewood Cliffs, NJ, Theory, algorithms, and applications, 1993
    • (1993) Network Flows
    • Ahuja, R.K.1    Magnanti, T.L.2    Orlin, J.B.3
  • 3
  • 4
    • 0002716241 scopus 로고
    • On certain polytopes associated with graphs
    • Chvatal, V.: On certain polytopes associated with graphs. J. Combinatorial Theory Ser. B 18, 138-154 (1975)
    • (1975) J. Combinatorial Theory Ser. B , vol.18 , pp. 138-154
    • Chvatal, V.1
  • 5
    • 0028728059 scopus 로고
    • A cutting plane algorithm for the max-cut problem
    • De Simone, C., Rinaldi, G.: A cutting plane algorithm for the max-cut problem. Optim. Meth. Software 3, 195-214 (1994)
    • (1994) Optim. Meth. Software , vol.3 , pp. 195-214
    • De Simone, C.1    Rinaldi, G.2
  • 7
    • 0001214263 scopus 로고
    • Maximum matching and a polyhedron with 0,1-vertices
    • Edmonds, J.: Maximum matching and a polyhedron with 0,1-vertices. J. Res. National Bureau of Standards 69, 125-130 (1965a)
    • (1965) J. Res. National Bureau of Standards , vol.69 , pp. 125-130
    • Edmonds, J.1
  • 8
    • 0000927535 scopus 로고
    • Paths, trees and flowers
    • Edmonds, J.: Paths, trees and flowers. Canadian J. Math. 17, 449-467 (1965b)
    • (1965) Canadian J. Math. , vol.17 , pp. 449-467
    • Edmonds, J.1
  • 9
    • 0002293349 scopus 로고
    • Matching, Euler tours and the Chinese postman
    • Edmonds, J., Johnson, E.L.: Matching, Euler tours and the Chinese postman. Math. Program. 5, 88-124 (1973)
    • (1973) Math. Program. , vol.5 , pp. 88-124
    • Edmonds, J.1    Johnson, E.L.2
  • 11
    • 51249175909 scopus 로고
    • An application of simultaneous Diophantine approximation in combinatorial optimization
    • Frank, A., Tardos, É.: An application of simultaneous Diophantine approximation in combinatorial optimization. Combinatorica 7, 49-65 (1987)
    • (1987) Combinatorica , vol.7 , pp. 49-65
    • Frank, A.1    Tardos, É.2
  • 12
    • 0042955047 scopus 로고
    • Testing the odd bicycle wheel inequalities for the bipartite subgraph polytope
    • Gerards, A.M.H.: Testing the odd bicycle wheel inequalities for the bipartite subgraph polytope. Math. Oper. Res. 10(2), 359-360 (1985)
    • (1985) Math. Oper. Res. , vol.10 , Issue.2 , pp. 359-360
    • Gerards, A.M.H.1
  • 13
    • 77957089565 scopus 로고
    • Gerards, A.M.H.: Matching. In: M.O. Ball, T.L. Magnanti, C.L. Monma, G.L. Nemhauser (eds), Network Models, North-Holland, Amsterdam
    • Gerards, A.M.H.: Matching. In: M.O. Ball, T.L. Magnanti, C.L. Monma, G.L. Nemhauser (eds), Network Models, Vol. 7 of Handbooks in Operations Research and Management Science, North-Holland, Amsterdam, pp. 135-224, 1995.
    • (1995) Handbooks in Operations Research and Management Science , vol.7 , pp. 135-224
  • 14
    • 51249175913 scopus 로고
    • Matrices with the Edmonds-Johnson property
    • Gerards, A.M.H., Schrijver, A.: Matrices with the Edmonds-Johnson property. Combinatorica 6, 365-379 (1986)
    • (1986) Combinatorica , vol.6 , pp. 365-379
    • Gerards, A.M.H.1    Schrijver, A.2
  • 15
    • 0012707803 scopus 로고
    • Combinatorial optimization
    • R. Graham, M. Grötschel, L. Lovász (eds), North Holland, chapter 28
    • Grötschel, M., Lovász, L.: Combinatorial optimization. In: R. Graham, M. Grötschel, L. Lovász (eds), Handbook of Combinatorics, Vol. 2, North Holland, chapter 28, pp. 1541-1597, 1995
    • (1995) Handbook of Combinatorics , vol.2 , pp. 1541-1597
    • Grötschel, M.1    Lovász, L.2
  • 16
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • Grötschel, M., Lovász, L., Schrijver, A.: The ellipsoid method and its consequences in combinatorial optimization. Combinatorica 1(2), 169-197 (1981)
    • (1981) Combinatorica , vol.1 , Issue.2 , pp. 169-197
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 18
    • 0019627062 scopus 로고
    • Weakly bipartite graphs and the max-cut problem
    • Grötschel, M., Pulleyblank, W.R.: Weakly bipartite graphs and the max-cut problem. Oper. Res. Lett. 1(1), 23-27 (1981/82)
    • (1981) Oper. Res. Lett. , vol.1 , Issue.1 , pp. 23-27
    • Grötschel, M.1    Pulleyblank, W.R.2
  • 19
    • 0025383440 scopus 로고
    • Very simple methods for all pairs network flow analysis
    • Gusfield, D.: Very simple methods for all pairs network flow analysis. SIAM J. Comput. 19(1), 143-155 (1990)
    • (1990) SIAM J. Comput. , vol.19 , Issue.1 , pp. 143-155
    • Gusfield, D.1
  • 22
    • 33751089779 scopus 로고    scopus 로고
    • Technical report, Department of Management Science, Lancaster University
    • Letchford, A.N., Lodi, A.: Primal separation algorithms. Technical report, Department of Management Science, Lancaster University, 2001b
    • (2001) Primal Separation Algorithms
    • Letchford, A.N.1    Lodi, A.2
  • 24
    • 0025448140 scopus 로고
    • Facet identification for the symmetric traveling salesman polytope
    • Padberg, M., Rinaldi, G.: Facet identification for the symmetric traveling salesman polytope. Math. Program. 47(2, (Ser. A)), 219-257 (1990)
    • (1990) Math. Program. , vol.47 , Issue.2 SER. A , pp. 219-257
    • Padberg, M.1    Rinaldi, G.2
  • 25
    • 0026124209 scopus 로고
    • A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems
    • Padberg, M., Rinaldi, G.: A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems. SIAM Review 33(1), 60-100 (1991)
    • (1991) SIAM Review , vol.33 , Issue.1 , pp. 60-100
    • Padberg, M.1    Rinaldi, G.2
  • 27
    • 0002931406 scopus 로고
    • On the symmetric travelling salesman problem: A computational study
    • Padberg, M.W., Hong. S.: On the symmetric travelling salesman problem: a computational study. Math. Program. Study 12, 78-107 (1980)
    • (1980) Math. Program. Study , vol.12 , pp. 78-107
    • Padberg, M.W.1    Hong, S.2
  • 29
    • 0020092747 scopus 로고
    • Odd minimum cut-sets and i-matchings
    • Padberg, M.W., Rao, M.R.: Odd minimum cut-sets and i-matchings. Math. Oper. Res. 7, 67-80 (1982)
    • (1982) Math. Oper. Res. , vol.7 , pp. 67-80
    • Padberg, M.W.1    Rao, M.R.2
  • 32
    • 84947744343 scopus 로고
    • 0/1-integer programming: Optimization and augmentation are equivalent
    • ESA '95 Lecture Notes in Computer Science, Springer
    • Schulz, A.S., Weismantel, R., Ziegler, G.M.: 0/1-integer programming: Optimization and augmentation are equivalent. In: ESA '95 Lecture Notes in Computer Science, number 979 in LNCS, Springer, pp. 473-483 1995
    • (1995) LNCS , Issue.979 , pp. 473-483
    • Schulz, A.S.1    Weismantel, R.2    Ziegler, G.M.3
  • 33
    • 0003500836 scopus 로고
    • A short proof of the factor theorem for finite graphs
    • Tutte, W.T.: A short proof of the factor theorem for finite graphs. Canadian J. Math. 6, 347-352 (1954)
    • (1954) Canadian J. Math. , vol.6 , pp. 347-352
    • Tutte, W.T.1
  • 34
    • 0004363325 scopus 로고
    • A simplified primal (all-integer) integer programming algorithm
    • Young, R.D.: A simplified primal (all-integer) integer programming algorithm. Oper. Res. 16, 750-782 (1968)
    • (1968) Oper. Res. , vol.16 , pp. 750-782
    • Young, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.