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Volumn 103, Issue 1, 2003, Pages 151-164

Higher Lawrence configurations

Author keywords

Graver basis; Lawrence polytope; Markov basis; Toric ideal

Indexed keywords


EID: 0038792218     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0097-3165(03)00092-X     Document Type: Article
Times cited : (56)

References (11)
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    • S. Aoki, A. Takemura, Minimal basis for connected Markov chain over 3x3xK contingency tables with fixed two-dimensional marginals, University of Tokyo, Technical Report METR 02-02, February 2002, http://www.e.u-tokyo.ac.jp/~takemura/
    • (2002)
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  • 3
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    • Christensen, R.1
  • 4
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    • Algebraic algorithms for sampling from conditional distributions
    • P. Diaconis, B. Sturmfels, Algebraic algorithms for sampling from conditional distributions, Ann. Statist. 26 (1) (1998) 363-397.
    • (1998) Ann. Statist. , vol.26 , Issue.1 , pp. 363-397
    • Diaconis, P.1    Sturmfels, B.2
  • 5
    • 0003976025 scopus 로고
    • The Analysis of Cross-Classified Categorical Data
    • MIT Press, Cambridge, MA
    • S.E. Fienberg, The Analysis of Cross-Classified Categorical Data, MIT Press, Cambridge, MA, 1977.
    • (1977)
    • Fienberg, S.E.1
  • 6
    • 4243332703 scopus 로고    scopus 로고
    • On the toric algebra of graphical models
    • Microsoft Research Preprint
    • D. Geiger, C. Meek, B. Sturmfels, On the toric algebra of graphical models, Microsoft Research Preprint, 2002.
    • (2002)
    • Geiger, D.1    Meek, C.2    Sturmfels, B.3
  • 7
    • 0037906231 scopus 로고    scopus 로고
    • 4ti2: Computation of Hilbert bases, Graver bases, toric Gröbner bases, and more
    • Software freely available at
    • R. Hemmecke, 4ti2: Computation of Hilbert bases, Graver bases, toric Gröbner bases, and more. Software freely available at http://www.4ti2.de/, 2003.
    • (2003)
    • Hemmecke, R.1
  • 8
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    • Ordering by divisibility in abstract algebras
    • G. Higman, Ordering by divisibility in abstract algebras, Proc. London Math. Soc. 2 (3) (1952) 326-336.
    • (1952) Proc. London Math. Soc. , vol.2 , Issue.3 , pp. 326-336
    • Higman, G.1
  • 9
    • 0036865863 scopus 로고    scopus 로고
    • Gröbner bases and polyhedral geometry of reducible and cyclic models
    • S. Hoşten, S. Sullivant, Gröbner bases and polyhedral geometry of reducible and cyclic models, J. Combin. Theory, Ser. A 100 (2002) 277-301.
    • (2002) J. Combin. Theory, Ser. A , vol.100 , pp. 277-301
    • Hoşten, S.1    Sullivant, S.2
  • 10
    • 0003306410 scopus 로고
    • Gröbner Bases and Convex Polytopes
    • University Series Lectures, Providence, RI
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    • (1995) Amer. Math. Soc. , pp. 8
    • Sturmfels, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.