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Volumn 78, Issue 1, 1996, Pages 59-84

On the monotonization of polyhedra

Author keywords

Dominant; Monotone polyhedra; Polyhedral combinatorics; Submissive

Indexed keywords


EID: 0041104390     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (20)
  • 1
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    • The asymmetric assignment problem and some new facets of the traveling salesman polytope on a directed graph
    • E. Balas, The asymmetric assignment problem and some new facets of the traveling salesman polytope on a directed graph, SIAM Journal on Discrete Mathematics 2 (1989) 425-451.
    • (1989) SIAM Journal on Discrete Mathematics , vol.2 , pp. 425-451
    • Balas, E.1
  • 2
    • 0038871181 scopus 로고
    • Finding out whether a valid inequality is facet defining
    • R. Kannan and W.R. Pulleyblank, eds., University of Waterloo Press
    • E. Balas, Finding out whether a valid inequality is facet defining, in: R. Kannan and W.R. Pulleyblank, eds., Integer Programming and Combinatorial Optimization (University of Waterloo Press, 1990) 45-61.
    • (1990) Integer Programming and Combinatorial Optimization , pp. 45-61
    • Balas, E.1
  • 4
    • 0027544692 scopus 로고
    • A lifting procedure for the asymmetric traveling salesman polytope and a large class of new facets
    • E. Balas and M. Fischetti, A lifting procedure for the asymmetric traveling salesman polytope and a large class of new facets, Mathematical Programming 58 (1993) 325-352.
    • (1993) Mathematical Programming , vol.58 , pp. 325-352
    • Balas, E.1    Fischetti, M.2
  • 5
    • 0040649354 scopus 로고
    • Department of Combinatorics and Optimization, University of Waterloo
    • S.C. Boyd and W.R. Pulleyblank, Facet generating techniques, Department of Combinatorics and Optimization, University of Waterloo, 1991.
    • (1991) Facet Generating Techniques
    • Boyd, S.C.1    Pulleyblank, W.R.2
  • 6
    • 0010648259 scopus 로고
    • The graphical asymmetric traveling salesman polyhedron
    • R. Kannan and W.R. Pulleyblank, eds., University of Waterloo Press
    • S. Chopra and G. Rinaldi, The graphical asymmetric traveling salesman polyhedron, in: R. Kannan and W.R. Pulleyblank, eds., Integer Programming and Combinatorial Optimization (University of Waterloo Press, 1990).
    • (1990) Integer Programming and Combinatorial Optimization
    • Chopra, S.1    Rinaldi, G.2
  • 8
    • 0002406256 scopus 로고
    • Facets of the asymmetric traveling salesman polytope
    • M. Fischetti, Facets of the asymmetric traveling salesman polytope, Mathematics of Operations Research 16 (1991) 42-56.
    • (1991) Mathematics of Operations Research , vol.16 , pp. 42-56
    • Fischetti, M.1
  • 9
    • 0002496531 scopus 로고
    • Three facet lifting theorems for the asymmetric traveling salesman polytope
    • E. Balas, G. Cornuejols and R. Kannan, eds., GSIA, Carnegie Mellon University
    • M. Fischetti, Three facet lifting theorems for the asymmetric traveling salesman polytope, in: E. Balas, G. Cornuejols and R. Kannan, eds., Integer Programming and Combinatorial Optimization (Proceedings of IPCO 2), GSIA, Carnegie Mellon University (1992) 260-273.
    • (1992) Integer Programming and Combinatorial Optimization (Proceedings of IPCO 2) , vol.2 , pp. 260-273
    • Fischetti, M.1
  • 13
    • 0002753134 scopus 로고
    • Polyhedral theory
    • E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan and D. Shmoys, eds., Wiley, New York
    • M. Grötschel and M. Padberg, Polyhedral theory, in: E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan and D. Shmoys, eds., The Traveling Salesman Problem (Wiley, New York, 1985) 251-305.
    • (1985) The Traveling Salesman Problem , pp. 251-305
    • Grötschel, M.1    Padberg, M.2
  • 14
    • 0022809003 scopus 로고
    • Clique tree inequalities and the symmetric traveling salesman problem
    • M. Grötschel and W.R. Pulleyblank, Clique tree inequalities and the symmetric traveling salesman problem, Mathematics of Operations Research 11 (1986) 537-569.
    • (1986) Mathematics of Operations Research , vol.11 , pp. 537-569
    • Grötschel, M.1    Pulleyblank, W.R.2
  • 16
    • 0027911602 scopus 로고
    • The graphical relaxation: A new framework for the symmetric traveling salesman polytope
    • D. Naddef and G. Rinaldi, The graphical relaxation: A new framework for the symmetric traveling salesman polytope, Mathematical Programming 58 (1993) 53-87.
    • (1993) Mathematical Programming , vol.58 , pp. 53-87
    • Naddef, D.1    Rinaldi, G.2
  • 19
    • 0039463993 scopus 로고
    • Symmetric inequalities and their composition for asymmetric travelling salesman polytopes
    • M. Queyranne and Y. Wang, Symmetric inequalities and their composition for asymmetric travelling salesman polytopes, 1994; Submitted to Mathematical Programming.
    • (1994) Mathematical Programming
    • Queyranne, M.1    Wang, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.