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Volumn 27, Issue 1, 1998, Pages 147-166

Deterministic Algorithms for 2-d Convex Programming and 3-d Online Linear Programming

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EID: 0012527128     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1006/jagm.1997.0914     Document Type: Article
Times cited : (18)

References (30)
  • 1
    • 0000229282 scopus 로고
    • Dynamic half-space range reporting and its applications
    • P. K. Agarwal and J. Matoušek, Dynamic half-space range reporting and its applications, Algorithmica 13 (1995), 325-345.
    • (1995) Algorithmica , vol.13 , pp. 325-345
    • Agarwal, P.K.1    Matoušek, J.2
  • 2
    • 0000108833 scopus 로고
    • Decomposable searching problems. I. Static-to-dynamic transformation
    • J. Bentley and J. Saxe, Decomposable searching problems. I. Static-to-dynamic transformation, J. Algorithms 1 (1980), 301-358.
    • (1980) J. Algorithms , vol.1 , pp. 301-358
    • Bentley, J.1    Saxe, J.2
  • 4
    • 0029709491 scopus 로고    scopus 로고
    • Fixed-dimensional linear programming queries made easy
    • T. M. Chan, Fixed-dimensional linear programming queries made easy, in "Proc. 12th ACM Sympos. Comput. Geom.," pp. 284-290, 1996.
    • (1996) Proc. 12th ACM Sympos. Comput. Geom. , pp. 284-290
    • Chan, T.M.1
  • 5
    • 0026904876 scopus 로고
    • An optimal algorithm for intersecting three-dimensional convex polyhedra
    • B. Chazelle, An optimal algorithm for intersecting three-dimensional convex polyhedra, SIAM J. Comput. 21 (1992), 671-696.
    • (1992) SIAM J. Comput. , vol.21 , pp. 671-696
    • Chazelle, B.1
  • 6
    • 0023247525 scopus 로고
    • Intersection of convex objects in two and three dimensions
    • B. Chazelle and D. P. Dobkin, Intersection of convex objects in two and three dimensions. J. Assoc. Comput. Mach. 34 (1987), 1-27.
    • (1987) J. Assoc. Comput. Mach. , vol.34 , pp. 1-27
    • Chazelle, B.1    Dobkin, D.P.2
  • 7
    • 13544265613 scopus 로고    scopus 로고
    • On linear-time deterministic algorithms for optimization problems in fixed dimension
    • B. Chazelle and J. Matoušek, On linear-time deterministic algorithms for optimization problems in fixed dimension, J. Algorithms 21 (1996), 597-597.
    • (1996) J. Algorithms , vol.21 , pp. 597-597
    • Chazelle, B.1    Matoušek, J.2
  • 8
    • 0029274566 scopus 로고
    • Las Vegas algorithms for linear and integer programming when the dimension is small
    • K. L. Clarkson, Las Vegas algorithms for linear and integer programming when the dimension is small, J. Assoc. Comput. Mach. 42 (1995), 488-499.
    • (1995) J. Assoc. Comput. Mach. , vol.42 , pp. 488-499
    • Clarkson, K.L.1
  • 9
    • 0023271105 scopus 로고
    • Slowing down sorting networks to obtain faster sorting algorithms
    • R. Cole, Slowing down sorting networks to obtain faster sorting algorithms, J. Assoc. Comput. Mach. 34 (1987), 200-208.
    • (1987) J. Assoc. Comput. Mach. , vol.34 , pp. 200-208
    • Cole, R.1
  • 10
    • 0001520324 scopus 로고
    • Fast detection of polyhedral intersection
    • D. P. Dobkin and D. G. Kirkpatrick, Fast detection of polyhedral intersection, Theoret. Comput. Sci. 27 (1983), 241-253.
    • (1983) Theoret. Comput. Sci. , vol.27 , pp. 241-253
    • Dobkin, D.P.1    Kirkpatrick, D.G.2
  • 11
    • 33749778536 scopus 로고
    • A linear algorithm for determining the separation of convex polyhedra
    • D. P. Dobkin and D. G. Kirkpatrick, A linear algorithm for determining the separation of convex polyhedra, J. Algorithms 6 (1985), 381-392.
    • (1985) J. Algorithms , vol.6 , pp. 381-392
    • Dobkin, D.P.1    Kirkpatrick, D.G.2
  • 12
    • 60749130749 scopus 로고
    • Determining the separation of preprocessed polyhedra: A unified approach
    • "Proc. 17th Int. Colloq. Automata, Languages, and Programming," Springer-Verlag, Berlin/New York
    • D. P. Dobkin and D. G. Kirkpatrick, Determining the separation of preprocessed polyhedra: A unified approach, in "Proc. 17th Int. Colloq. Automata, Languages, and Programming," Lecture Notes in Computer Science, Vol. 443, pp. 400-413, Springer-Verlag, Berlin/New York, 1990.
    • (1990) Lecture Notes in Computer Science , vol.443 , pp. 400-413
    • Dobkin, D.P.1    Kirkpatrick, D.G.2
  • 13
    • 0021372387 scopus 로고
    • Linear time algorithms for two- and three-variable linear programs
    • M. E. Dyer, Linear time algorithms for two- and three-variable linear programs, SIAM J. Comput. 13 (1984), 31-45.
    • (1984) SIAM J. Comput. , vol.13 , pp. 31-45
    • Dyer, M.E.1
  • 14
    • 0026976788 scopus 로고
    • A class of convex programs with applications to computational geometry
    • M. E. Dyer, A class of convex programs with applications to computational geometry, in "Proc. 8th ACM Sympos. Comput. Geom.," pp. 9-15, 1992.
    • (1992) Proc. 8th ACM Sympos. Comput. Geom. , pp. 9-15
    • Dyer, M.E.1
  • 15
    • 0026928041 scopus 로고
    • Dynamic three-dimensional linear programming
    • D. Eppstein, Dynamic three-dimensional linear programming, ORSA J. Comput. 4 (1992), 360-368.
    • (1992) ORSA J. Comput. , vol.4 , pp. 360-368
    • Eppstein, D.1
  • 16
    • 0022663183 scopus 로고
    • The ultimate planar convex hull algorithm?
    • D. G. Kirkpatrick and R. Seidel, The ultimate planar convex hull algorithm? SIAM J. Comput. 15 (1986), 287-299.
    • (1986) SIAM J. Comput. , vol.15 , pp. 287-299
    • Kirkpatrick, D.G.1    Seidel, R.2
  • 17
    • 0000166119 scopus 로고
    • Linear optimization queries
    • J. Matoušek, Linear optimization queries, J. Algorithms 14 (1993), 432-448. (Also with O. Schwarzkopf, in "Proc. 8th ACM Sympos. Comput. Geom.," pp. 16-25, 1992.)
    • (1993) J. Algorithms , vol.14 , pp. 432-448
    • Matoušek, J.1
  • 19
    • 0020828745 scopus 로고
    • Applying parallel computation algorithms in the design of serial algorithms
    • N. Megiddo, Applying parallel computation algorithms in the design of serial algorithms, J. Assoc. Comput. Mach. 30 (1983), 852-865.
    • (1983) J. Assoc. Comput. Mach. , vol.30 , pp. 852-865
    • Megiddo, N.1
  • 20
    • 0000423548 scopus 로고
    • 3 and related problems
    • 3 and related problems, SIAM J. Comput. 12 (1983), 759-776.
    • (1983) SIAM J. Comput. , vol.12 , pp. 759-776
    • Megiddo, N.1
  • 21
    • 0020845843 scopus 로고
    • Linear programming in linear time when the dimension is fixed
    • N. Megiddo, Linear programming in linear time when the dimension is fixed, J. Assoc. Comput. Mach. 31 (1984), 114-127.
    • (1984) J. Assoc. Comput. Mach. , vol.31 , pp. 114-127
    • Megiddo, N.1
  • 24
    • 0346395008 scopus 로고
    • Dynamization of decomposable searching problems yielding good worst-case bounds
    • "Proc. 5th GI Conf. Theoret. Comput. Sci." Springer-Verlag, Berlin/New York
    • M. H. Overmars and J. van Leeuwen, Dynamization of decomposable searching problems yielding good worst-case bounds, in "Proc. 5th GI Conf. Theoret. Comput. Sci." Lecture Notes in Computer Sciences, Vol. 104, pp. 224-233, Springer-Verlag, Berlin/New York, 1981.
    • (1981) Lecture Notes in Computer Sciences , vol.104 , pp. 224-233
    • Overmars, M.H.1    Van Leeuwen, J.2
  • 25
    • 0024071047 scopus 로고
    • On the detection of a common intersection of k convex objects in the plane
    • M. Reichling, On the detection of a common intersection of k convex objects in the plane, Inform. Process. Lett. 29 (1988), 25-29.
    • (1988) Inform. Process. Lett. , vol.29 , pp. 25-29
    • Reichling, M.1
  • 26
    • 0012582439 scopus 로고
    • On the detection of a common intersection of k convex polyhedra
    • "Computational Geometry and Its Applications," Springer-Verlag, Berlin/New York
    • M. Reichling, On the detection of a common intersection of k convex polyhedra, in "Computational Geometry and Its Applications," Lecture Notes in Computer Science, Vol. 333, pp. 180-186, Springer-Verlag, Berlin/New York, 1988.
    • (1988) Lecture Notes in Computer Science , vol.333 , pp. 180-186
    • Reichling, M.1
  • 27
    • 84976669340 scopus 로고
    • Planar point location using persistent search trees
    • N. Sarnak and R. E. Tarjan, Planar point location using persistent search trees, Comm. ACM 29 (1986), 669-679.
    • (1986) Comm. ACM , vol.29 , pp. 669-679
    • Sarnak, N.1    Tarjan, R.E.2
  • 28
    • 51249172581 scopus 로고
    • Small-dimensional linear programming and convex hulls made easy
    • R. Seidel, Small-dimensional linear programming and convex hulls made easy, Discrete Comput. Geom. 6 (1991), 423-434.
    • (1991) Discrete Comput. Geom. , vol.6 , pp. 423-434
    • Seidel, R.1
  • 29
    • 84990629463 scopus 로고
    • A combinatorial bound for linear programming and related problems
    • "Proc. 9th Sympos. Theoret. Aspects Comput. Sci.," Springer-Verlag, Berlin/New York
    • M. Sharir and E. Welzl, A combinatorial bound for linear programming and related problems, in "Proc. 9th Sympos. Theoret. Aspects Comput. Sci.," Lecture Notes in Computer Science, Vol. 577, pp. 569-579, Springer-Verlag, Berlin/New York, 1992.
    • (1992) Lecture Notes in Computer Science , vol.577 , pp. 569-579
    • Sharir, M.1    Welzl, E.2
  • 30
    • 85041014728 scopus 로고
    • Maximizing non-linear concave functions in fixed dimension
    • S. Toledo, Maximizing non-linear concave functions in fixed dimension, in "Proc. 33rd IEEE Sympos. Found. Comput. Sci.," pp. 696-685, 1992.
    • (1992) Proc. 33rd IEEE Sympos. Found. Comput. Sci. , pp. 696-1685
    • Toledo, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.