메뉴 건너뛰기




Volumn 22, Issue 1, 1997, Pages 110-145

The circuit polytope: Facets

Author keywords

Circuit cone; Circuit polytope; Facets; Symmetric traveling salesman problem; Vehicle routing problem; Weighted girth problem

Indexed keywords

ALGORITHMS; COMBINATORIAL MATHEMATICS; COMPUTATIONAL COMPLEXITY; PROBLEM SOLVING; VECTORS;

EID: 0031072787     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.22.1.110     Document Type: Article
Times cited : (39)

References (20)
  • 1
    • 0002389989 scopus 로고
    • Management Science Research Report #MSRR-593, Graduate School of Industrial Administration, Carnegie Mellon University
    • Balas, E. (1993). On the cycle polytope of a directed graph, Management Science Research Report #MSRR-593, Graduate School of Industrial Administration, Carnegie Mellon University.
    • (1993) On the Cycle Polytope of a Directed Graph
    • Balas, E.1
  • 3
    • 0040649354 scopus 로고
    • Research Report TR-91-31, Department of Computer Science, University of Ottawa
    • Boyd, S. C. (1991). Facet generating techniques, Research Report TR-91-31, Department of Computer Science, University of Ottawa.
    • (1991) Facet Generating Techniques
    • Boyd, S.C.1
  • 5
    • 0002495975 scopus 로고
    • Edmonds polytopes and weakly hamiltonian graphs
    • Chvátal, V. (1973). Edmonds polytopes and weakly hamiltonian graphs, Math. Programming 5 29-40.
    • (1973) Math. Programming , vol.5 , pp. 29-40
    • Chvátal, V.1
  • 6
    • 0022129352 scopus 로고
    • The traveling salesman problem on a graph and some related integer polyhedra
    • Cornuéjols, G., J. Fonlupt, D. Naddef (1985). The traveling salesman problem on a graph and some related integer polyhedra, Math. Programming 33 1-27.
    • (1985) Math. Programming , vol.33 , pp. 1-27
    • Cornuéjols, G.1    Fonlupt, J.2    Naddef, D.3
  • 8
    • 0001214263 scopus 로고
    • Maximum matching and a polyhedron with 0, 1-vertices
    • Edmonds, J. (1965). Maximum matching and a polyhedron with 0, 1-vertices, J. Res. Nat. Bur. Standards 69B 125-130.
    • (1965) J. Res. Nat. Bur. Standards , vol.69 B , pp. 125-130
    • Edmonds, J.1
  • 11
    • 0023999210 scopus 로고
    • A new class of cutting planes for the symmetric traveling salesman problem
    • Fleischmann, B. (1988). A new class of cutting planes for the symmetric traveling salesman problem, Math. Programming 40 225-246.
    • (1988) Math. Programming , vol.40 , pp. 225-246
    • Fleischmann, B.1
  • 12
    • 34250268954 scopus 로고
    • On the symmetric traveling salesman problem I: Inequalities
    • Grötschel, M., M. W. Padberg (1979a). On the symmetric traveling salesman problem I: Inequalities, Math. Programming 16 265-280.
    • (1979) Math. Programming , vol.16 , pp. 265-280
    • Grötschel, M.1    Padberg, M.W.2
  • 13
    • 34250263680 scopus 로고
    • On the symmetric traveling salesman problem II: Lifting theorems and facets
    • _, _ (1979b). On the symmetric traveling salesman problem II: Lifting theorems and facets, Math. Programming 16 281-302.
    • (1979) Math. Programming , vol.16 , pp. 281-302
  • 14
    • 0022809003 scopus 로고
    • Clique tree inequalities and the symmetric traveling salesman problem
    • _, W. R. Pulleyblank (1986). Clique tree inequalities and the symmetric traveling salesman problem, Math. Oper. Res. 11 537-569.
    • (1986) Math. Oper. Res. , vol.11 , pp. 537-569
    • Pulleyblank, W.R.1
  • 16
    • 34249919158 scopus 로고
    • The symmetric traveling salesman polytope and its graphical relaxation: Composition of valid inequalities
    • _, _ (1991). The symmetric traveling salesman polytope and its graphical relaxation: Composition of valid inequalities, Math. Programming 51 359-400.
    • (1991) Math. Programming , vol.51 , pp. 359-400
  • 17
    • 5844229079 scopus 로고
    • The crown inequalities for the symmetric traveling salesman polytope
    • _, _ (1992). The crown inequalities for the symmetric traveling salesman polytope, Math. Oper. Res. 51 359-400.
    • (1992) Math. Oper. Res. , vol.51 , pp. 359-400
  • 18
    • 0027911602 scopus 로고
    • The graphical relaxation: A new framework for the symmetric traveling salesman polytope
    • _, _ (1993). The graphical relaxation: A new framework for the symmetric traveling salesman polytope, Math. Programming 58 53-88.
    • (1993) Math. Programming , vol.58 , pp. 53-88
  • 19
    • 0002146418 scopus 로고
    • Sums of Circuits
    • J. A. Bondy, U. R. S. Murty, eds. Academic Press, New York
    • Seymour, P. D. (1979). Sums of Circuits. J. A. Bondy, U. R. S. Murty, eds. Graph Theory and Related Topics, Academic Press, New York, 341-355.
    • (1979) Graph Theory and Related Topics , pp. 341-355
    • Seymour, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.