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Volumn 102, Issue 2, 2005, Pages 249-259

A linear algorithm for integer programming in the plane

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMBINATORIAL MATHEMATICS; COMPUTATION THEORY; CONSTRAINT THEORY; FUNCTIONS;

EID: 21144446569     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-004-0520-0     Document Type: Article
Times cited : (16)

References (23)
  • 2
    • 0033358731 scopus 로고    scopus 로고
    • The flatness theorem for nonsymmetric convex bodies via the local theory of Banach spaces
    • Banaszczyk, W., Litvak, A.E., Pajor, A., Szarek, S.J.: The flatness theorem for nonsymmetric convex bodies via the local theory of Banach spaces. Math. Oper. Res. 24 (3), 728-750 (1999)
    • (1999) Math. Oper. Res. , vol.24 , Issue.3 , pp. 728-750
    • Banaszczyk, W.1    Litvak, A.E.2    Pajor, A.3    Szarek, S.J.4
  • 3
    • 21144441103 scopus 로고    scopus 로고
    • A course in convexity. vol. 54 of Graduate Studies in Mathematics
    • Barvinok, A.: A course in convexity. vol. 54 of Graduate Studies in Mathematics. Providence, RI: Am. Math. Soc. 2002
    • (2002) Providence, RI: Am. Math. Soc.
    • Barvinok, A.1
  • 4
    • 0029274566 scopus 로고
    • Las Vegas algorithms for linear and integer programming when the dimension is small
    • Clarkson, K.L.: Las Vegas algorithms for linear and integer programming when the dimension is small. J. Assoc. Comput. Mach. 42, 488-499 (1995)
    • (1995) J. Assoc. Comput. Mach. , vol.42 , pp. 488-499
    • Clarkson, K.L.1
  • 5
    • 0142183804 scopus 로고    scopus 로고
    • Fast integer programming in fixed dimension
    • Proceedings of the 11th Annual European Symposium on Algorithms, ESA'2003, G.D. Battista, U. Zwick (eds.), Springer, To appear in Computing
    • Eisenbrand, F.: Fast integer programming in fixed dimension. In: Proceedings of the 11th Annual European Symposium on Algorithms, ESA'2003, G.D. Battista, U. Zwick (eds.), vol. 2832 of LNCS, Springer, 2003. To appear in Computing
    • (2003) LNCS , vol.2832
    • Eisenbrand, F.1
  • 6
    • 84947221101 scopus 로고    scopus 로고
    • Fast 2-variable integer programming
    • Integer Programming and Combinatorial Optimization, IPCO 2001, K. Aardal, B. Gerards (eds.), Springer
    • Eisenbrand, F., Rote, G.: Fast 2-variable integer programming. In: Integer Programming and Combinatorial Optimization, IPCO 2001, K. Aardal, B. Gerards (eds.), vol. 2081 of LNCS, Springer, 2001, pp. 78-89
    • (2001) LNCS , vol.2081 , pp. 78-89
    • Eisenbrand, F.1    Rote, G.2
  • 7
    • 0035979467 scopus 로고    scopus 로고
    • Short vectors of planar lattices via continued fractions
    • Eisenbrand, F.: Short vectors of planar lattices via continued fractions. Inf. Proc. Lett. 79 (3), 121-126 (2001)
    • (2001) Inf. Proc. Lett. , vol.79 , Issue.3 , pp. 121-126
    • Eisenbrand, F.1
  • 8
    • 0042018834 scopus 로고
    • A fast algorithm for the two-variable integer programming problem
    • Feit, S.D.: A fast algorithm for the two-variable integer programming problem. J. Assoc. Comput. Mach. 31(1), 99-113 (1984)
    • (1984) J. Assoc. Comput. Mach. , vol.31 , Issue.1 , pp. 99-113
    • Feit, S.D.1
  • 10
    • 0016870573 scopus 로고
    • A polynomial algorithm for the knapsack problem in two variables
    • Hirschberg D.S., Wong, C.K.: A polynomial algorithm for the knapsack problem in two variables. J. Assoc. Comput. Mach. 23 (1), 147-154 (1976)
    • (1976) J. Assoc. Comput. Mach. , vol.23 , Issue.1 , pp. 147-154
    • Hirschberg, D.S.1    Wong, C.K.2
  • 11
    • 0039193657 scopus 로고
    • Efficient enumeration of grid points in a convex polygon and its application to integer programming
    • Kanamaru, N., Nishizeki, T., Asano, T.: Efficient enumeration of grid points in a convex polygon and its application to integer programming. Inter. J. Comput. Geo. Appl. 4 (1), 69-85 (1994)
    • (1994) Inter. J. Comput. Geo. Appl. , vol.4 , Issue.1 , pp. 69-85
    • Kanamaru, N.1    Nishizeki, T.2    Asano, T.3
  • 12
    • 0000927223 scopus 로고
    • Covering minima and lattice-point-free convex bodies
    • Kannan R., Lovász, L.: Covering minima and lattice-point-free convex bodies. An. Math. 128, 577-602 (1988)
    • (1988) An. Math. , vol.128 , pp. 577-602
    • Kannan, R.1    Lovász, L.2
  • 13
    • 0018924991 scopus 로고
    • A polynomial algorithm for the two-variable integer programming problem
    • Kannan, R.: A polynomial algorithm for the two-variable integer programming problem. J. Assoc. Comp. Mach. 27(1), 118-122 (1980)
    • (1980) J. Assoc. Comp. Mach. , vol.27 , Issue.1 , pp. 118-122
    • Kannan, R.1
  • 16
    • 0001722589 scopus 로고
    • Worst-case complexity bounds for algorithms in the theory of integral quadratic forms
    • Lagarias, J.C.: Worst-case complexity bounds for algorithms in the theory of integral quadratic forms. J. Algor. 1, 142-186 (1980)
    • (1980) J. Algor. , vol.1 , pp. 142-186
    • Lagarias, J.C.1
  • 17
    • 0020845921 scopus 로고
    • Integer programming with a fixed number of variables
    • Lenstra, H.W.: Integer programming with a fixed number of variables. Math. Oper. Res. 8(4), 538-548 (1983)
    • (1983) Math. Oper. Res. , vol.8 , Issue.4 , pp. 538-548
    • Lenstra, H.W.1
  • 18
    • 0020845843 scopus 로고
    • Linear programming in linear time when the dimension is fixed
    • Megiddo, N.: Linear programming in linear time when the dimension is fixed. J. Assoc. Comp. Mach. 31, 114-127 (1984)
    • (1984) J. Assoc. Comp. Mach. , vol.31 , pp. 114-127
    • Megiddo, N.1
  • 19
    • 0001651151 scopus 로고
    • Production sets with indivisibilities. Part I: Generalities
    • Scarf, H.E.: Production sets with indivisibilities. Part I: generalities. Econometrica 49, 1-32 (1981)
    • (1981) Econometrica , vol.49 , pp. 1-32
    • Scarf, H.E.1
  • 20
    • 0001651150 scopus 로고
    • Production sets with indivisibilities. Part II: The case of two activities
    • Scarf, H.E.: Production sets with indivisibilities. Part II: The case of two activities. Econometrica 49, 395-423 (1981)
    • (1981) Econometrica , vol.49 , pp. 395-423
    • Scarf, H.E.1
  • 21
    • 84984644539 scopus 로고
    • Fast reduction and composition of binary quadratic forms
    • ACM Press
    • Schönhage, A.: Fast reduction and composition of binary quadratic forms. In: Inter. Symp. Symb. Alg. Comp. ISSAC 91, ACM Press, 1991, pp. 128-133
    • (1991) Inter. Symp. Symb. Alg. Comp. ISSAC , vol.91 , pp. 128-133
    • Schönhage, A.1
  • 23
    • 0041886297 scopus 로고
    • A formula for determining the number of integral points on a straight line and its application
    • Zamanskij, L.Y., Cherkasskij, V.D.: A formula for determining the number of integral points on a straight line and its application. Ehkon. Mat. Melody (in Russian). 20, 1132-1138 (1984)
    • (1984) Ehkon. Mat. Melody (in Russian). , vol.20 , pp. 1132-1138
    • Zamanskij, L.Y.1    Cherkasskij, V.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.