메뉴 건너뛰기




Volumn 40, Issue 4, 1997, Pages 565-578

Characterizing a valuated delta-matroid as a family of delta-matroids

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009116617     PISSN: 04534514     EISSN: None     Source Type: Journal    
DOI: 10.15807/jorsj.40.565     Document Type: Article
Times cited : (16)

References (42)
  • 1
    • 0011051067 scopus 로고
    • A greedy algorithm for minimizing a separable convex function over a finite jump system
    • K. Ando, S. Fujishige and T. Naitoh: A greedy algorithm for minimizing a separable convex function over a finite jump system, Journal of the. Operations Research Society of Japan, 38 (1995), pp. 362-375.
    • (1995) Journal of the Operations Research Society of Japan , vol.38 , pp. 362-375
    • Ando, K.1    Fujishige, S.2    Naitoh, T.3
  • 2
    • 0023399550 scopus 로고
    • Greedy algorithm and symmetric matroids
    • A. Bouchet: Greedy algorithm and symmetric matroids, Mathematical Programming, 38 (1987), pp. 147-159.
    • (1987) Mathematical Programming , vol.38 , pp. 147-159
    • Bouchet, A.1
  • 7
    • 38249039745 scopus 로고
    • Some combinatorial properties of discriminants in metric vector spaces
    • A. W. M. Dress and T. Havel: Some combinatorial properties of discriminants in metric vector spaces, Advances in Mathematics, 62 (1986), pp. 285-312.
    • (1986) Advances in Mathematics , vol.62 , pp. 285-312
    • Dress, A.W.M.1    Havel, T.2
  • 8
    • 0001921336 scopus 로고
    • Well-layered maps - A class of greedily optimizable set functions
    • A. W. M. Dress and W. Terhalle: Well-layered maps - A class of greedily optimizable set functions, Applied Mathematics Letters, 8 (1995), pp. 77-80.
    • (1995) Applied Mathematics Letters , vol.8 , pp. 77-80
    • Dress, A.W.M.1    Terhalle, W.2
  • 9
    • 0001921335 scopus 로고
    • Well-layered maps and the maximum-degree k x k-subdeterminant of a matrix of rational functions
    • A. W. M. Dress and W. Terhalle: Well-layered maps and the maximum-degree k x k-subdeterminant of a matrix of rational functions, Applied Mathematics Letters, 8 (1995), pp. 19-23.
    • (1995) Applied Mathematics Letters , vol.8 , pp. 19-23
    • Dress, A.W.M.1    Terhalle, W.2
  • 10
    • 0001634021 scopus 로고
    • Rewarding maps - On greedy optimization of set functions
    • A. W. M. Dress and W. Terhalle: Rewarding maps - On greedy optimization of set functions, Advances in Applied Mathematics, 16 (1995), pp. 464-483.
    • (1995) Advances in Applied Mathematics , vol.16 , pp. 464-483
    • Dress, A.W.M.1    Terhalle, W.2
  • 11
    • 0002335738 scopus 로고
    • Valuated matroid: A new look at the greedy algorithm
    • A. W. M. Dress and W. Wenzel: Valuated matroid: A new look at the greedy algorithm, Applied Mathematics Letters, 3 (1990), pp. 33-35.
    • (1990) Applied Mathematics Letters , vol.3 , pp. 33-35
    • Dress, A.W.M.1    Wenzel, W.2
  • 12
    • 0002473136 scopus 로고
    • A greedy-algorithm characterization of valuated Δ-matroids
    • A. W. M. Dress and W. Wenzel: A greedy-algorithm characterization of valuated Δ-matroids, Applied Mathematics Letters, 4 (1991), pp. 55-58.
    • (1991) Applied Mathematics Letters , vol.4 , pp. 55-58
    • Dress, A.W.M.1    Wenzel, W.2
  • 15
    • 0002167079 scopus 로고
    • Submodular functions, matroids and certain polyhedra
    • (R. Guy, H. Hanani, N. Sauer and J. Schönheim, eds.), Gordon and Breach, New York
    • J. Edmonds: Submodular functions, matroids and certain polyhedra, in Combinatorial Structures and Their Applications (R. Guy, H. Hanani, N. Sauer and J. Schönheim, eds.), Gordon and Breach, New York, pp. 69-87, 1970.
    • (1970) Combinatorial Structures and Their Applications , pp. 69-87
    • Edmonds, J.1
  • 17
    • 0001952013 scopus 로고
    • Matroids in combinatorial optimization
    • (N. White, ed.), Cambridge University Press, London
    • U. Faigle: Matroids in combinatorial optimization, in Combinatorial Geometries (N. White, ed.), Cambridge University Press, London, pp. 161-210, 1987.
    • (1987) Combinatorial Geometries , pp. 161-210
    • Faigle, U.1
  • 18
    • 0002409723 scopus 로고
    • Convexity in nonlinear integer programming
    • P. Favati and F. Tardella: Convexity in nonlinear integer programming, Ricerca Operativa, 53 (1990), pp. 3-44.
    • (1990) Ricerca Operativa , vol.53 , pp. 3-44
    • Favati, P.1    Tardella, F.2
  • 19
    • 0003319854 scopus 로고
    • Submodular Functions and Optimization
    • North-Holland
    • S. Fujishige: Submodular Functions and Optimization, Annals of Discrete Mathematics, 47, North-Holland, 1991.
    • (1991) Annals of Discrete Mathematics , vol.47
    • Fujishige, S.1
  • 20
    • 0001687035 scopus 로고
    • About strongly polynomial time algorithms for quadratic optimization over submodular constraints
    • D. S. Hochbaum and S.-P. Hong: About strongly polynomial time algorithms for quadratic optimization over submodular constraints, Mathematical Programming, 69 (1995), pp. 269-309.
    • (1995) Mathematical Programming , vol.69 , pp. 269-309
    • Hochbaum, D.S.1    Hong, S.-P.2
  • 22
    • 0002716901 scopus 로고
    • Submodular functions and convexity
    • (A. Bachern, M. Grötschel and B. Korte, eds.), Springer-Verlag, Berlin
    • L. Lovász: Submodular functions and convexity, in Mathematical Programming - The State of the Art (A. Bachern, M. Grötschel and B. Korte, eds.), Springer-Verlag, Berlin, pp. 235-257, 1983.
    • (1983) Mathematical Programming - The State of the Art , pp. 235-257
    • Lovász, L.1
  • 24
    • 0001949934 scopus 로고
    • Finding optimal minors of valuated bimatroids
    • K. Murota: Finding optimal minors of valuated bimatroids, Applied Mathematics Letters, 8 (1995), pp. 37-42.
    • (1995) Applied Mathematics Letters , vol.8 , pp. 37-42
    • Murota, K.1
  • 25
    • 28844489047 scopus 로고    scopus 로고
    • Two algorithms for valuated Δ-matroids
    • K. Murota: Two algorithms for valuated Δ-matroids, Applied Mathematics Letters, 9 (1996), pp. 67-71.
    • (1996) Applied Mathematics Letters , vol.9 , pp. 67-71
    • Murota, K.1
  • 26
    • 0000212947 scopus 로고    scopus 로고
    • Valuated matroid intersection, I: Optimality criteria
    • K. Murota: Valuated matroid intersection, I: optimality criteria, SIAM Journal on Discrete Mathematics, 9 (1996), pp. 545-561.
    • (1996) SIAM Journal on Discrete Mathematics , vol.9 , pp. 545-561
    • Murota, K.1
  • 27
    • 0000605654 scopus 로고    scopus 로고
    • Valuated matroid intersection, II: Algorithms
    • K. Murota: Valuated matroid intersection, II: algorithms, SIAM Journal on Discrete Mathematics, 9 (1996), pp. 562-576.
    • (1996) SIAM Journal on Discrete Mathematics , vol.9 , pp. 562-576
    • Murota, K.1
  • 28
    • 28844474178 scopus 로고    scopus 로고
    • Fenchel-type duality for matroid valuations
    • to appear
    • K. Murota: Fenchel-type duality for matroid valuations, Mathematical Programming, to appear.
    • Mathematical Programming
    • Murota, K.1
  • 29
    • 0041756346 scopus 로고
    • Report No. 95843-OR, Forschungsinstitut für Diskrete Mathematik, Universität Bonn, March
    • K. Murota: Submodular flow problem with a nonseparable cost function, Report No. 95843-OR, Forschungsinstitut für Diskrete Mathematik, Universität Bonn, March, 1995.
    • (1995) Submodular Flow Problem with a Nonseparable Cost Function
    • Murota, K.1
  • 30
    • 0030602321 scopus 로고    scopus 로고
    • Convexity and Steinitz's exchange property
    • K. Murota: Convexity and Steinitz's exchange property, Advances in Mathematics, 124 (1996), 272-311.
    • (1996) Advances in Mathematics , vol.124 , pp. 272-311
    • Murota, K.1
  • 31
    • 0039810348 scopus 로고    scopus 로고
    • Extended abstract in Integer Programming and Combinatorial Optimization (W. H. Cunningham, S. T. McCormick, and M. Queyranne, eds.), Proceedings of 5th International IPCO Conference, Vancouver, British Columbia, Canada, June 3-5, 1996. Springer-Verlag
    • Extended abstract in Integer Programming and Combinatorial Optimization (W. H. Cunningham, S. T. McCormick, and M. Queyranne, eds.), Proceedings of 5th International IPCO Conference, Vancouver, British Columbia, Canada, June 3-5, 1996. Lecture Notes in Computer Science 1084, Springer-Verlag, 1996, pp. 260-274.
    • (1996) Lecture Notes in Computer Science , vol.1084 , pp. 260-274
  • 32
    • 0010816785 scopus 로고    scopus 로고
    • RIMS Preprint No. 1065, Research Institute for Mathematical Sciences, Kyoto University, April
    • K. Murota: Discrete convex analysis, RIMS Preprint No. 1065, Research Institute for Mathematical Sciences, Kyoto University, April, 1996.
    • (1996) Discrete Convex Analysis
    • Murota, K.1
  • 35
    • 34250088987 scopus 로고
    • Directed submodularity, ditroids and directed submodular flows
    • L. Qi: Directed submodularity, ditroids and directed submodular flows, Mathematical Programming, 42 (1988), pp. 579-599.
    • (1988) Mathematical Programming , vol.42 , pp. 579-599
    • Qi, L.1
  • 36
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R. T. Rockafellar: Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 40
    • 38249003723 scopus 로고
    • Pfaffian forms and Δ-matroids
    • W. Wenzel: Pfaffian forms and Δ-matroids, Discrete Mathematics, 115 (1993), pp. 253-266.
    • (1993) Discrete Mathematics , vol.115 , pp. 253-266
    • Wenzel, W.1
  • 41
    • 38249003726 scopus 로고
    • Δ-matroids with the strong exchange conditions
    • W. Wenzel: Δ-matroids with the strong exchange conditions, Applied Mathematics Letters, 6 (1993), pp. 67-70.
    • (1993) Applied Mathematics Letters , vol.6 , pp. 67-70
    • Wenzel, W.1
  • 42
    • 0004236843 scopus 로고
    • Cambridge University Press, London
    • N. White, ed.: Theory of Matroids, Cambridge University Press, London, 1986.
    • (1986) Theory of Matroids
    • White, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.