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Volumn 9, Issue 1, 2004, Pages 1-27

Tropical convexity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18644364808     PISSN: 14310635     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (269)

References (22)
  • 4
    • 0003252802 scopus 로고    scopus 로고
    • Combinatorics of hypergeometric functions associated with positive roots
    • (Eds. V.I. Arnold, I.M. Gel'fand, M. Smirnov and V.S. Retakh), Birkhäuser, Boston
    • I.M. Gel'fand, M.I. Graev and A. Postnikov: Combinatorics of hypergeometric functions associated with positive roots, in Arnold-Gel'fand Mathematical Seminars, Geometry and Singularity Theory, (Eds. V.I. Arnold, I.M. Gel'fand, M. Smirnov and V.S. Retakh), Birkhäuser, Boston, 1997, pp. 205-221.
    • (1997) Arnold-Gel'fand Mathematical Seminars, Geometry and Singularity Theory , pp. 205-221
    • Gel'fand, I.M.1    Graev, M.I.2    Postnikov, A.3
  • 7
    • 0036608690 scopus 로고    scopus 로고
    • An explicit computation of the injective hull of certain finite metric spaces in terms of their associated Buneman complex
    • A. Dress, K.T. Huber and V. Moulton: An explicit computation of the injective hull of certain finite metric spaces in terms of their associated Buneman complex, Advances in Mathematics 168 (2002) 1-28.
    • (2002) Advances in Mathematics , vol.168 , pp. 1-28
    • Dress, A.1    Huber, K.T.2    Moulton, V.3
  • 10
    • 15844426559 scopus 로고    scopus 로고
    • Extra
    • Documenta Mathematica, Extra Vol. III, 1998, 565-574.
    • (1998) Documenta Mathematica , vol.3 , pp. 565-574
  • 11
    • 51249194743 scopus 로고
    • Six theorems about metric spaces
    • J. Isbell: Six theorems about metric spaces, Comment. Math. Helv. 39 (1964) 65-74.
    • (1964) Comment. Math. Helv. , vol.39 , pp. 65-74
    • Isbell, J.1
  • 13
    • 0042465481 scopus 로고    scopus 로고
    • Introduction to tropical combinatorics
    • Proceedings of the Nagoya 2000 International Workshop, (Eds. A.N. Kirillov and N. Liskova), World Scientific
    • A.N. Kirillov: Introduction to tropical combinatorics, in Physics and Combinatorics 2000, Proceedings of the Nagoya 2000 International Workshop, (Eds. A.N. Kirillov and N. Liskova), pp. 82-150, World Scientific, 2001.
    • (2001) Physics and Combinatorics 2000 , pp. 82-150
    • Kirillov, A.N.1
  • 14
    • 0012074126 scopus 로고    scopus 로고
    • Idempotent functional analysis: An algebraic approach
    • arXiv: math.FA/0009128
    • G. Litvinov, V. Maslov, and G. Shpiz: Idempotent functional analysis: an algebraic approach, Mathematical Notes 69 (2001) 696-729, arXiv: math.FA/0009128.
    • (2001) Mathematical Notes , vol.69 , pp. 696-729
    • Litvinov, G.1    Maslov, V.2    Shpiz, G.3
  • 16
    • 0038783163 scopus 로고    scopus 로고
    • Counting curves via lattice paths in polygons
    • G. Mikhalkin: Counting curves via lattice paths in polygons, C. R. Acad. Sci. Paris 336 (2003), no. 8, 629-634.
    • (2003) C. R. Acad. Sci. Paris , vol.336 , Issue.8 , pp. 629-634
    • Mikhalkin, G.1
  • 18
    • 4644258912 scopus 로고    scopus 로고
    • software available. The numbers cited for regular triangulations of products of simplices can be found at http://www.zib.de/rambau/TOPCOM/TOPCOM- examples
    • J. Rambau: TOPCOM (Triangulations of Point Configurations and Oriented Matroids), software available at http://www.zib.de/rambau/TOPCOM/. The numbers cited for regular triangulations of products of simplices can be found at http://www.zib.de/rambau/TOPCOM/TOPCOM-examples/.
    • TOPCOM (Triangulations of Point Configurations and Oriented Matroids)
    • Rambau, J.1
  • 19
    • 28444485847 scopus 로고    scopus 로고
    • First steps in tropical geometry
    • arXiv:math. AG/0306366, to appear, Proceedings Vienna 2003, (editors G.L. Litvinov and V.P. Maslov), American Mathematical Society
    • J. Richter-Gebert, B. Sturmfels, and T. Theobald: First steps in tropical geometry, arXiv:math. AG/0306366, to appear in Idempotent Mathematics and Mathematical Physics, Proceedings Vienna 2003, (editors G.L. Litvinov and V.P. Maslov), American Mathematical Society, 2004.
    • (2004) Idempotent Mathematics and Mathematical Physics
    • Richter-Gebert, J.1    Sturmfels, B.2    Theobald, T.3
  • 21
    • 85161755541 scopus 로고    scopus 로고
    • The tropical Grassmannian
    • arXiv:math.AG/0304218, to appear
    • D. Speyer and B. Sturmfels: The tropical Grassmannian, arXiv:math.AG/0304218, to appear in Advances in Geometry.
    • Advances in Geometry
    • Speyer, D.1    Sturmfels, B.2
  • 22
    • 0002275128 scopus 로고
    • Reconstruction of a tree from the distances between its pendant vertices
    • K.A. Zaretsky: Reconstruction of a tree from the distances between its pendant vertices, Uspekhi Math. Nauk. Russian Mathematical Surveys 20 (1965) 90-92.
    • (1965) Uspekhi Math. Nauk. Russian Mathematical Surveys , vol.20 , pp. 90-92
    • Zaretsky, K.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.