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Volumn 2081, Issue , 2001, Pages 78-89

Fast 2-variable integer programming

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL OPTIMIZATION;

EID: 84947221101     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45535-3_7     Document Type: Conference Paper
Times cited : (12)

References (22)
  • 2
    • 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. Journal of the Association for Computing Machinery, 42:488-499, 1995.
    • (1995) Journal of the Association for Computing Machinery , vol.42 , pp. 488-499
    • Clarkson, K.L.1
  • 3
    • 0035979467 scopus 로고    scopus 로고
    • Short vectors of planar lattices via continued fractions
    • F. Eisenbrand. Short vectors of planar lattices via continued fractions. Information Processing Letters, 2001. to appear. http://www.mpi-sb.mpg.de/~eisen/report_lattice.ps.gz
    • (2001) Information Processing Letters
    • Eisenbrand, F.1
  • 4
    • 0042018834 scopus 로고
    • A fast algorithm for the two-variable integer programming problem
    • S. D. Feit. A fast algorithm for the two-variable integer programming problem. Journal of the Association for Computing Machinery, 31(1):99-113, 1984.
    • (1984) Journal of the Association for Computing Machinery , vol.31 , Issue.1 , pp. 99-113
    • Feit, S.D.1
  • 6
    • 0039193657 scopus 로고
    • Ecient enumeration of grid points in a convex polygon and its application to integer programming
    • N. Kanamaru, T. Nishizeki, and T. Asano. Ecient enumeration of grid points in a convex polygon and its application to integer programming. Int. J. Comput. Geom. Appl., 4(1):69-85, 1994.
    • (1994) Int. J. Comput. Geom. Appl , vol.4 , Issue.1 , pp. 69-85
    • Kanamaru, N.1    Nishizeki, T.2    Asano, T.3
  • 7
    • 0000126406 scopus 로고
    • Minkowski's convex body theorem and integer programming
    • R. Kannan. Minkowski's convex body theorem and integer programming. Mathematics of Operations Research, 12(3):415-440, 1987.
    • (1987) Mathematics of Operations Research , vol.12 , Issue.3 , pp. 415-440
    • Kannan, R.1
  • 8
    • 0000927223 scopus 로고
    • Covering minima and lattice-point-free convex bodies
    • R. Kannan and L. Lovasz. Covering minima and lattice-point-free convex bodies. Annals of Mathematics, 128:577-602, 1988.
    • (1988) Annals of Mathematics , vol.128 , pp. 577-602
    • Kannan, R.1    Lovasz, L.2
  • 9
    • 0018924991 scopus 로고
    • A polynomial algorithm for the two-variable integer programming problem
    • Ravindran Kannan. A polynomial algorithm for the two-variable integer programming problem. Journal of the Association for Computing Machinery, 27(1):118-122, 1980.
    • (1980) Journal of the Association for Computing Machinery , vol.27 , Issue.1 , pp. 118-122
    • Kannan, R.1
  • 11
    • 0001722589 scopus 로고
    • Worst-case complexity bounds for algorithms in the theory of integral quadratic forms
    • J. C. Lagarias. Worst-case complexity bounds for algorithms in the theory of integral quadratic forms. Journal of Algorithms, 1:142-186, 1980.
    • (1980) Journal of Algorithms , vol.1 , pp. 142-186
    • Lagarias, J.C.1
  • 12
    • 0020845921 scopus 로고
    • Integer programming with a xed number of variables
    • H. W. Lenstra. Integer programming with a xed number of variables. Mathematics of Operations Research, 8(4):538-548, 1983.
    • (1983) Mathematics of Operations Research , vol.8 , Issue.4 , pp. 538-548
    • Lenstra, H.W.1
  • 13
    • 0000423548 scopus 로고
    • Linear time algorithms for linear programming in R3 and related problems
    • N. Megiddo. Linear time algorithms for linear programming in R3 and related problems. SIAM Journal on Computing, 12:759-776, 1983.
    • (1983) SIAM Journal on Computing , vol.12 , pp. 759-776
    • Megiddo, N.1
  • 15
    • 0001651151 scopus 로고
    • Production sets with indivisibilities. Part I: Generalities
    • H. E. Scarf. Production sets with indivisibilities. Part I: generalities. Econometrica, 49:1-32, 1981.
    • (1981) Econometrica , vol.49 , pp. 1-32
    • Scarf, H.E.1
  • 16
    • 0001651150 scopus 로고
    • Production sets with indivisibilities. Part II: The case of two activities
    • H. E. Scarf. 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
  • 17
    • 0015197550 scopus 로고
    • Schnelle Berechnung von Kettenbruchentwicklungen. (Fast computation of continued fraction expansions)
    • A. Schönhage. Schnelle Berechnung von Kettenbruchentwicklungen. (Fast computation of continued fraction expansions). Acta Informatica, 1:139-144, 1971.
    • (1971) Acta Informatica , vol.1 , pp. 139-144
    • Schönhage, A.1
  • 19
    • 34250459760 scopus 로고
    • Schnelle Multiplikation groer Zahlen (Fast multiplication of large numbers)
    • A. Schonhage and V. Strassen. Schnelle Multiplikation groer Zahlen (Fast multiplication of large numbers). Computing, 7:281-292, 1971.
    • (1971) Computing , vol.7 , pp. 281-292
    • Schonhage, A.1    Strassen, V.2
  • 22
    • 0041886297 scopus 로고
    • A formula for determining the number of integral points on a straight line and its application
    • L. Ya. Zamanskij and V. D. Cherkasskij. A formula for determining the number of integral points on a straight line and its application. Ehkonomika i Matematicheskie Metody, 20:1132-1138, 1984.
    • (1984) Ehkonomika I Matematicheskie Metody , vol.20 , pp. 1132-1138
    • Zamanskij, L.Y.1    Cherkasskij, V.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.