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Volumn 9, Issue 3, 2000, Pages 321-331

Computing Gröbner fans of toric ideals

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EID: 0034348008     PISSN: 10586458     EISSN: None     Source Type: Journal    
DOI: 10.1080/10586458.2000.10504409     Document Type: Article
Times cited : (18)

References (16)
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    • Adams, W.W.1    Loustaunau, P.2
  • 3
    • 34249842390 scopus 로고
    • A basis enumeration algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
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    • (1992) Disc. Comput. Geom. , vol.8 , pp. 295-313
    • Avis, D.1    Fukuda, K.2
  • 4
    • 85025490602 scopus 로고
    • Standard bases and geometric invariant theory, I: Initial ideals and state polytopes
    • [Bayer and Morrison 1988] D. Bayer and I. Morrison, "Standard bases and geometric invariant theory, I: Initial ideals and state polytopes", J. Symbolic Comput. 6:2-3 (1988), 209-217.
    • (1988) J. Symbolic Comput. , vol.6 , Issue.2-3 , pp. 209-217
    • Bayer, D.1    Morrison, I.2
  • 5
    • 0002190702 scopus 로고
    • Constructions and complexity of secondary polytopes
    • [Billera et al. 1990] L. J. Billera, P. Filliman, and B. Sturmfels, "Constructions and complexity of secondary polytopes", Adv. Math. 83:2 (1990), 155-179.
    • (1990) Adv. Math. , vol.83 , Issue.2 , pp. 155-179
    • Billera, L.J.1    Filliman, P.2    Sturmfels, B.3
  • 6
    • 0031232403 scopus 로고    scopus 로고
    • Converting bases with the Gröbner walk
    • [Collart et al. 1997] S. Collart, M. Kalkbrener, and D. Mall, "Converting bases with the Gröbner walk", J. Symbolic Comput. 24:3-4 (1997), 465-469.
    • (1997) J. Symbolic Comput. , vol.24 , Issue.3-4 , pp. 465-469
    • Collart, S.1    Kalkbrener, M.2    Mall, D.3
  • 11
    • 0029713036 scopus 로고    scopus 로고
    • Enumeration of regular triangulations
    • (Philadelphia, PA), ACM Press, New York
    • [Masada et al. 1996] T. Masada, H. Imai, and K. Imai, "Enumeration of regular triangulations", pp. 224-233 in Proc. 12th annual Symposium on Computational Geometry (Philadelphia, PA), ACM Press, New York, 1996.
    • (1996) Proc. 12th Annual Symposium on Computational Geometry , pp. 224-233
    • Masada, T.1    Imai, H.2    Imai, K.3
  • 12
    • 0000408683 scopus 로고
    • The Gröbner fan of an ideal
    • [Mora and Robbiano 1988] T. Mora and L. Robbiano, "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
  • 13
    • 0032367382 scopus 로고    scopus 로고
    • Generic lattice ideals
    • [Peeva and Sturmfels 1998] I. Peeva and B. Sturmfels, "Generic lattice ideals", J. Amer. Math. Soc. 11:2 (1998), 363-373.
    • (1998) J. Amer. Math. Soc. , vol.11 , Issue.2 , pp. 363-373
    • Peeva, I.1    Sturmfels, B.2
  • 14
  • 15
    • 0003306410 scopus 로고    scopus 로고
    • Gröbner bases and convex polytopes
    • University Lecture Series, Providence, RI
    • [Sturmfels 1996] B. Sturmfels, Gröbner bases and convex polytopes, University Lecture Series 8, Amer. Math. Soc., Providence, RI, 1996.
    • (1996) Amer. Math. Soc. , vol.8
    • Sturmfels, B.1
  • 16
    • 52449147300 scopus 로고    scopus 로고
    • Variation of cost functions in integer programming
    • [Sturmfels and Thomas 1997] B. Sturmfels and R. R. Thomas, "Variation of cost functions in integer programming", Math. Programming 77:3, Ser. A (1997), 357-387.
    • (1997) Math. Programming , vol.77 , Issue.3 SER. A , pp. 357-387
    • Sturmfels, B.1    Thomas, R.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.