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Volumn 12, Issue 5, 2002, Pages 429-443

Parametric polymatroid optimization and its geometric applications

Author keywords

Combinatorial geometry; K level; Matroid

Indexed keywords


EID: 0036811613     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218195902000967     Document Type: Article
Times cited : (4)

References (26)
  • 3
    • 38249043947 scopus 로고
    • The number of small semispaces of a finite set of points in the plane
    • N. Alon and E. Györi, "The Number of Small Semispaces of a Finite Set of Points in the Plane", J. Combin. Theory A, 41 (1986), pp. 154-157.
    • (1986) J. Combin. Theory A , vol.41 , pp. 154-157
    • Alon, N.1    Györi, E.2
  • 5
    • 0027609887 scopus 로고
    • Algorithms for projecting points to give the most uniform distribution with applications to hashing
    • T. Asano and T. Tokuyama, "Algorithms for Projecting Points to Give the Most Uniform Distribution with Applications to Hashing," Algorithmica, 9 (1993), pp.572-590.
    • (1993) Algorithmica , vol.9 , pp. 572-590
    • Asano, T.1    Tokuyama, T.2
  • 6
    • 0020750068 scopus 로고
    • Complexity of some parametric integer and network programming problems
    • P. Carstensen, "Complexity of Some Parametric Integer and Network Programming Problems," Math. Prog., 26 (1983), pp. 64-75.
    • (1983) Math. Prog. , vol.26 , pp. 64-75
    • Carstensen, P.1
  • 8
    • 0023288651 scopus 로고
    • On K-hulls and related problems
    • R. Cole, M. Sharir, and C. Yap, "On K-hulls and Related Problems," SIAM J. Comput., 16 (1987), pp. 61-77.
    • (1987) SIAM J. Comput. , vol.16 , pp. 61-77
    • Cole, R.1    Sharir, M.2    Yap, C.3
  • 9
    • 0032394371 scopus 로고    scopus 로고
    • Improved bound on planar K-sets and K-levels
    • T. Dey, "Improved Bound on Planar K-sets and K-levels," Discrete and Computational Geometry, 19 (1998), pp. 373-382.
    • (1998) Discrete and Computational Geometry , vol.19 , pp. 373-382
    • Dey, T.1
  • 10
    • 0032281619 scopus 로고    scopus 로고
    • Geometric lower bounds for parametric matroid optimization
    • D. Eppstein, "Geometric Lower Bounds for Parametric Matroid Optimization," Discrete and Computational Geometry, 20 (1998), pp. 463-476.
    • (1998) Discrete and Computational Geometry , vol.20 , pp. 463-476
    • Eppstein, D.1
  • 11
    • 0022677324 scopus 로고
    • Optimal flows in networks with multiple sources and sinks, with applications to oil and gas lease investment programs
    • A. Federgruen and H. Groenevelt, "Optimal Flows in Networks with Multiple Sources and Sinks, with Applications to Oil and Gas Lease Investment Programs," Operations Research, 34 (1986), pp. 218-225.
    • (1986) Operations Research , vol.34 , pp. 218-225
    • Federgruen, A.1    Groenevelt, H.2
  • 12
    • 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
  • 14
    • 0034841224 scopus 로고    scopus 로고
    • Taking a walk in a planar arrangement
    • S. Har-Peled, "Taking a Walk in a Planar Arrangement," SIAM J. Comput., 30 (2000), pp. 1341-1367.
    • (2000) SIAM J. Comput. , vol.30 , pp. 1341-1367
    • Har-Peled, S.1
  • 15
    • 0000860218 scopus 로고
    • Lower and upper bounds for the allocation problems
    • D. Hochbaum, "Lower and Upper Bounds for the Allocation Problems," Math. of Operations Research, 19 (1994), pp. 390-409.
    • (1994) Math. of Operations Research , vol.19 , pp. 390-409
    • Hochbaum, D.1
  • 18
    • 84974869062 scopus 로고
    • A polynomial time algorithm for the resource allocation problem with a convex objective functions
    • N. Katoh, T. Ibaraki, and H. Mine, "A Polynomial Time Algorithm for the Resource Allocation Problem with a Convex Objective Functions," Operational Research Quart., 30 (1979), pp.449-455.
    • (1979) Operational Research Quart. , vol.30 , pp. 449-455
    • Katoh, N.1    Ibaraki, T.2    Mine, H.3
  • 19
    • 51249163538 scopus 로고
    • On minimum and maximum spanning trees of linearly moving points
    • N. Katoh, K. Iwano, and T. Tokuyama, "On Minimum and Maximum Spanning Trees of Linearly Moving Points," Discrete and Computational Geometry, 13 (1995), pp.161-176.
    • (1995) Discrete and Computational Geometry , vol.13 , pp. 161-176
    • Katoh, N.1    Iwano, K.2    Tokuyama, T.3
  • 21
    • 0003104050 scopus 로고
    • Optimal flows in networks with multiple sources and sinks
    • N. Megiddo, "Optimal Flows in Networks with Multiple Sources and Sinks," Mathematical Programming, 7 (1974), pp.97-107.
    • (1974) Mathematical Programming , vol.7 , pp. 97-107
    • Megiddo, N.1
  • 22
    • 0010733942 scopus 로고
    • System analysis by graphs and matroids
    • Springer Verlag
    • K. Murota, System Analysis by Graphs and Matroids, Algorithms and Combinatorics 3, Springer Verlag, 1988.
    • (1988) Algorithms and Combinatorics , vol.3
    • Murota, K.1
  • 23
    • 0030602321 scopus 로고    scopus 로고
    • Convexity and Steinitz's exchange property
    • K. Murota, "Convexity and Steinitz's Exchange Property," Advances in Mathematics, 124 (1996), pp. 272-311.
    • (1996) Advances in Mathematics , vol.124 , pp. 272-311
    • Murota, K.1
  • 24
    • 0032364015 scopus 로고    scopus 로고
    • How to cut pseudo parabolas into segments
    • H. Tamaki and T. Tokuyama "How to Cut Pseudo Parabolas into Segments," Discrete Comput. Geom., 19 (1998), pp.265-290.
    • (1998) Discrete Comput. Geom. , vol.19 , pp. 265-290
    • Tamaki, H.1    Tokuyama, T.2
  • 25
    • 21944439637 scopus 로고    scopus 로고
    • A characterization of planar graphs by pseudo-line arrangements
    • H. Tamaki and T. Tokuyama "A Characterization of Planar Graphs by Pseudo-Line Arrangements," Proc. ISAAC97, Springer LNCS 1350 (1997), pp.133-142.
    • (1997) Proc. ISAAC97, Springer LNCS , vol.1350 , pp. 133-142
    • Tamaki, H.1    Tokuyama, T.2
  • 26
    • 0011638478 scopus 로고
    • More on K-sets of finite sets in the plane
    • E. Welzl, "More on K-sets of Finite Sets in the Plane," Discrete & Computational Geometry, 1 (1986), pp.95-100.
    • (1986) Discrete & Computational Geometry , vol.1 , pp. 95-100
    • Welzl, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.