메뉴 건너뛰기




Volumn , Issue , 2004, Pages 149-154

Toric ideals of homogeneous phylogenetic models

Author keywords

Gr bner bases; Parametric inference; Phylogenetic invariants; Toric ideals

Indexed keywords

MATRIX ALGEBRA; PROBABILITY; TREES (MATHEMATICS);

EID: 27644549981     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1005285.1005308     Document Type: Conference Paper
Times cited : (7)

References (14)
  • 1
    • 0242607587 scopus 로고    scopus 로고
    • Phylogenetic invariants for the general markov model of sequence mutation
    • E. Allman and J. Rhodes. Phylogenetic invariants for the general markov model of sequence mutation. Mathematical Biosciences, pages 1-33, 2003.
    • (2003) Mathematical Biosciences , pp. 1-33
    • Allman, E.1    Rhodes, J.2
  • 2
    • 0001899693 scopus 로고
    • Invariants of phytogenies in a simple case with discrete states
    • J. Cavender and J. Felsenstein. Invariants of phytogenies in a simple case with discrete states. Journal of Classification, 4:57-71, 1987.
    • (1987) Journal of Classification , vol.4 , pp. 57-71
    • Cavender, J.1    Felsenstein, J.2
  • 3
    • 0031232403 scopus 로고    scopus 로고
    • Converting bases with the gröbner walk
    • S. Collart, M. Kalkbrener, and D. Mall. Converting bases with the gröbner walk. J. Symbolic Comp., 24(3):465-469, 1997.
    • (1997) J. Symbolic Comp. , vol.24 , Issue.3 , pp. 465-469
    • Collart, S.1    Kalkbrener, M.2    Mall, D.3
  • 4
    • 0002893741 scopus 로고
    • Introduction to toric varieties
    • Princeton University Press, Princeton, NJ . The William H. Roever Lectures in Geometry
    • W. Fulton. Introduction to toric varieties, volume 131 of Annals of Mathematics Studies. Princeton University Press, Princeton, NJ, 1993. The William H. Roever Lectures in Geometry.
    • (1993) Annals of Mathematics Studies , vol.131
    • Fulton, W.1
  • 5
    • 0002529940 scopus 로고    scopus 로고
    • Polymake: A framework for analyzing convex polytopes
    • G. Kalai and G. M. Ziegler, editors . Birkhäuser
    • E. Gawrilow and M. Joswig. polymake: a framework for analyzing convex polytopes. In G. Kalai and G. M. Ziegler, editors, Polytopes - Combinatorics and Computation, pages 43-74. Birkhäuser, 2000.
    • (2000) Polytopes - Combinatorics and Computation , pp. 43-74
    • Gawrilow, E.1    Joswig, M.2
  • 11
    • 0029258712 scopus 로고
    • Classifying and counting linear phylogenetic invariants for the jukes-cantor model
    • M. Steel and Y. Fu. Classifying and counting linear phylogenetic invariants for the jukes-cantor model. Journal of computational biology, 2(1):39-47, 1995.
    • (1995) Journal of Computational Biology , vol.2 , Issue.1 , pp. 39-47
    • Steel, M.1    Fu, Y.2
  • 12
    • 0001212293 scopus 로고
    • A complete family of phylogenetic invariants for any number of taxa under kimura's 3st model
    • M. Steel, L. Székely, P. Erdös, and P. Waddell. A complete family of phylogenetic invariants for any number of taxa under kimura's 3st model. New Zealand Journal of Botany, 31:289-296, 1993.
    • (1993) New Zealand Journal of Botany , vol.31 , pp. 289-296
    • Steel, M.1    Székely, L.2    Erdös, P.3    Waddell, P.4
  • 13
    • 0003306410 scopus 로고    scopus 로고
    • Gröbner bases and convex polytopes
    • American Mathematical Society, Providence, RI
    • [131 B. Sturmfels. Gröbner bases and convex polytopes, volume 8 of University Lecture Series. American Mathematical Society, Providence, RI, 1996.
    • (1996) University Lecture Series , vol.8
    • Sturmfels, B.1
  • 14
    • 0002135065 scopus 로고    scopus 로고
    • Equations defining toric varieties
    • Algebraic geometry - Santa Cruz 1995 . Amer. Math. Soc., Providence, RI
    • B. Sturmfels. Equations defining toric varieties. In Algebraic geometry - Santa Cruz 1995, volume 62 of Proc. Sympos. Pure Math., pages 437-449. Amer. Math. Soc., Providence, RI, 1997.
    • (1997) Proc. Sympos. Pure Math. , vol.62 , pp. 437-449
    • Sturmfels, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.