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Volumn 38, Issue 2, 2004, Pages 959-973

Short rational functions for toric algebra and applications

Author keywords

Barvinok's algorithm; Ehrhart polynomial; Gr bner basis; Hilbert series; Lattice points; Magic cubes and squares; Short rational function; Toric ideals

Indexed keywords


EID: 3242668203     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2004.02.001     Document Type: Article
Times cited : (30)

References (11)
  • 2
    • 0000975439 scopus 로고
    • Polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed
    • Barvinok A.I. Polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed Math. Operations Research 19 1994 769-779
    • (1994) Math. Operations Research , vol.19 , pp. 769-779
    • Barvinok, A.I.1
  • 3
    • 0002646505 scopus 로고    scopus 로고
    • An algorithmic theory of lattice points in polyhedra
    • In New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996-1997): Cambridge University Press
    • Barvinok A.I. Pommersheim J. An algorithmic theory of lattice points in polyhedra In New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996-1997) Math. Sci. Res. Inst. Publ. vol. 38 1999 91-147 Cambridge University Press
    • (1999) Math. Sci. Res. Inst. Publ. , vol.38 , pp. 91-147
    • Barvinok, A.I.1    Pommersheim, J.2
  • 4
    • 0141680581 scopus 로고    scopus 로고
    • Short rational generating functions for lattice point problems
    • Barvinok A.I. Woods K. Short rational generating functions for lattice point problems J. Amer. Math. Soc. 16 2003 957-979
    • (2003) J. Amer. Math. Soc. , vol.16 , pp. 957-979
    • Barvinok, A.I.1    Woods, K.2
  • 7
    • 0242440322 scopus 로고    scopus 로고
    • Integer programming, Barvinok's counting algorithm and Gomory relaxations
    • Lasserre J.B. Integer programming, Barvinok's counting algorithm and Gomory relaxations Oper. Res. Lett. 32 2003 133-137
    • (2003) Oper. Res. Lett. , vol.32 , pp. 133-137
    • Lasserre, J.B.1
  • 8
    • 0000408683 scopus 로고
    • The Gröbner fan of an ideal
    • Mora T. Robbiano L. The Gröbner fan of an ideal J. Symbolic Comput. 6 2-3 1988 183-208
    • (1988) J. Symbolic Comput. , vol.6 , Issue.2-3 , pp. 183-208
    • Mora, T.1    Robbiano, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.