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Volumn 2, Issue 2, 2005, Pages 135-144

A computational study of integer programming algorithms based on Barvinok's rational functions

Author keywords

Barvinok's algorithm; Integer programming; Rational functions

Indexed keywords

ALGORITHMS; DATA REDUCTION; FUNCTIONS; INTEGER PROGRAMMING; LINEARIZATION; MATRIX ALGEBRA; POLYNOMIALS; THEOREM PROVING;

EID: 22644432981     PISSN: 15725286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disopt.2005.04.001     Document Type: Article
Times cited : (10)

References (15)
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    • Aardal, K.1    Lenstra, A.K.2
  • 2
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  • 3
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    • (1999) New Perspectives in Algebraic Combinatorics , vol.38 , pp. 91-147
    • Barvinok, A.I.1    Pommersheim, J.2
  • 4
    • 0141680581 scopus 로고    scopus 로고
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    • A.I. Barvinok, and K. Woods Short rational generating functions for lattice point problems J. Amer. Math. Soc. 16 2003 957 979 Available at arXiv.math.CO.0211146
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    • Barvinok, A.I.1    Woods, K.2
  • 5
    • 84949200730 scopus 로고    scopus 로고
    • Decomposition of integer programs and of generating sets
    • R.E. Burkard, G.J. Woeginger (Eds.), Algorithms-ESA 97 Springer, Berlin
    • G. Cornuéjols, R. Urbaniak, R. Weismantel, L.A. Wolsey, Decomposition of integer programs and of generating sets, in: R.E. Burkard, G.J. Woeginger (Eds.), Algorithms-ESA 97, Lecture Notes in Computer Science, vol. 1284, Springer, Berlin, 1997, pp. 92-103.
    • (1997) Lecture Notes in Computer Science , vol.1284 , pp. 92-103
    • Cornuéjols, G.1    Urbaniak, R.2    Weismantel, R.3    Wolsey, L.A.4
  • 9
    • 0031210630 scopus 로고    scopus 로고
    • On Barvinok's algorithm for counting lattice points in fixed dimension
    • M. Dyer, and R. Kannan On Barvinok's algorithm for counting lattice points in fixed dimension Math. Oper. Res. 22 1997 545 549
    • (1997) Math. Oper. Res. , vol.22 , pp. 545-549
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  • 12
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    • Integer programming, Barvinok's counting algorithm and Gomory relaxations
    • J.B. Lasserre Integer programming, Barvinok's counting algorithm and Gomory relaxations Oper. Res. Lett. 32 2 2004 133 137
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  • 13
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  • 14
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.