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Volumn 11, Issue 2 R, 2004, Pages 1-13

h*-vectors, Eulerian polynomials and stable polytopes of graphs

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EID: 5444231876     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: 10.37236/1863     Document Type: Article
Times cited : (27)

References (25)
  • 1
    • 85047233931 scopus 로고    scopus 로고
    • Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley
    • to appear
    • C.A. Athanasiadis, Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley, J. Reine Angew. Math. (to appear).
    • J. Reine Angew. Math.
    • Athanasiadis, C.A.1
  • 2
    • 5444267857 scopus 로고
    • Lattice points in lattice polytopes
    • U. Betke and P. McMullen, Lattice points in lattice polytopes, Monatsh. Math. 99 (1985), 253-265.
    • (1985) Monatsh. Math. , vol.99 , pp. 253-265
    • Betke, U.1    McMullen, P.2
  • 4
    • 0002716241 scopus 로고
    • On certain polytopes associated with graphs
    • V. Chvàtal, On certain polytopes associated with graphs, J. Combin. Theory Series B 18 (1975), 138-154.
    • (1975) J. Combin. Theory Series B , vol.18 , pp. 138-154
    • Chvàtal, V.1
  • 5
    • 84941843652 scopus 로고
    • Sur un problèm de géométrie diophantienne linéaire. I. Polyèdres et réseaux
    • E. Ehrhart, Sur un problèm de géométrie diophantienne linéaire. I. Polyèdres et réseaux, J. Reine Angew. Math. 226 (1967), 1-29.
    • (1967) J. Reine Angew. Math. , vol.226 , pp. 1-29
    • Ehrhart, E.1
  • 6
    • 84955835810 scopus 로고
    • Sur un problèm de géométrie diophantienne linéaire. II. Systèms dio-phantiens linéaires
    • E. Ehrhart, Sur un problèm de géométrie diophantienne linéaire. II. Systèms dio-phantiens linéaires, J. Reine Angew. Math. 227 (1967), 25-49.
    • (1967) J. Reine Angew. Math. , vol.227 , pp. 25-49
    • Ehrhart, E.1
  • 7
    • 0004291883 scopus 로고
    • Wiley-Interscience, New York
    • B. Grünbaum, Convex Polytopes, Wiley-Interscience, New York, 1967; second edition, Graduate Texts in Mathematics 221, Springer-Verlag, New York, 2002.
    • (1967) Convex Polytopes
    • Grünbaum, B.1
  • 8
    • 0003785209 scopus 로고    scopus 로고
    • second edition, Springer-Verlag, New York
    • B. Grünbaum, Convex Polytopes, Wiley-Interscience, New York, 1967; second edition, Graduate Texts in Mathematics 221, Springer-Verlag, New York, 2002.
    • (2002) Graduate Texts in Mathematics , vol.221
  • 9
    • 38249024841 scopus 로고
    • Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains
    • T. Hibi, Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains, J. Pure Applied Algebra 60 (1989), 245-251.
    • (1989) J. Pure Applied Algebra , vol.60 , pp. 245-251
    • Hibi, T.1
  • 11
    • 5444249010 scopus 로고    scopus 로고
    • personal communication, 2004
    • T. Hibi, personal communication, 2004.
    • Hibi, T.1
  • 12
    • 0013553773 scopus 로고
    • The diameter of graphs of convex polytopes and f-vector theory
    • DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Amer. Math. Soc., Providence, RI
    • G. Kalai, The diameter of graphs of convex polytopes and f-vector theory, in Applied Geometry and Discrete Mathematics, DIMACS Series in Discrete Mathematics and Theoretical Computer Science 4, Amer. Math. Soc., Providence, RI, 1991, pp. 387-411.
    • (1991) Applied Geometry and Discrete Mathematics , vol.4 , pp. 387-411
    • Kalai, G.1
  • 14
    • 0033480948 scopus 로고    scopus 로고
    • (0,1)-Polytope none of whose regular triangulations are unimodular
    • H. Ohsugi and T. Hibi, A normal (0,1)-polytope none of whose regular triangulations are unimodular, Discrete Comput. Geom. 21 (1999), 201-204.
    • (1999) Discrete Comput. Geom. , vol.21 , pp. 201-204
    • Ohsugi, H.1    Hibi, T.2    Normal, A.3
  • 15
    • 23044525674 scopus 로고    scopus 로고
    • Convex polytopes all of whose reverse lexicographic initial ideals are squarefree
    • H. Ohsugi and T. Hibi, Convex polytopes all of whose reverse lexicographic initial ideals are squarefree, Proc. Amer. Math. Soc. 129 (2001), 2541-2546.
    • (2001) Proc. Amer. Math. Soc. , vol.129 , pp. 2541-2546
    • Ohsugi, H.1    Hibi, T.2
  • 16
    • 5444231180 scopus 로고    scopus 로고
    • On the Charney-Davis and Neggers-Stanley conjectures
    • to appear
    • V. Reiner and V. Welker, On the Charney-Davis and Neggers-Stanley conjectures, J. Combin. Theory Series A (to appear).
    • J. Combin. Theory Series A
    • Reiner, V.1    Welker, V.2
  • 17
    • 0001393934 scopus 로고
    • Decompositions of rational convex polytopes
    • R.P. Stanley, Decompositions of rational convex polytopes, Annals of Discrete Math. 6 (1980), 333-342.
    • (1980) Annals of Discrete Math. , vol.6 , pp. 333-342
    • Stanley, R.P.1
  • 18
    • 0003652674 scopus 로고
    • Wadsworth & Brooks/Cole, Pacific Grove, CA; second printing, Cambridge University Press, Cambridge
    • R.P. Stanley, Enumerative Combinatorics, vol. 1, Wadsworth & Brooks/Cole, Pacific Grove, CA, 1986; second printing, Cambridge University Press, Cambridge, 1997.
    • (1986) Enumerative Combinatorics , vol.1
    • Stanley, R.P.1
  • 20
    • 0024830136 scopus 로고
    • Log-concave and unimodal sequences in algebra, combinatorics, and geometry
    • Annals of the New York Academy of Sciences, New York Acad. Sci., New York
    • R.P. Stanley, Log-concave and unimodal sequences in algebra, combinatorics, and geometry, in Graph Theory and its Applications: East and West, Annals of the New York Academy of Sciences 576, New York Acad. Sci., New York, 1989, pp. 500-535.
    • (1989) Graph Theory and Its Applications: East and West , vol.576 , pp. 500-535
    • Stanley, R.P.1
  • 21
    • 0009124901 scopus 로고
    • On the Hilbert function of a graded Cohen-Macaulay domain
    • R.P. Stanley, On the Hilbert function of a graded Cohen-Macaulay domain, J. Pure Applied Algebra 73 (1991), 307-314.
    • (1991) J. Pure Applied Algebra , vol.73 , pp. 307-314
    • Stanley, R.P.1
  • 22
    • 0041093989 scopus 로고
    • A monotonicity property of h-vectors and h*-vectors
    • R.P. Stanley, A monotonicity property of h-vectors and h*-vectors, European J. Combin. 14 (1993), 251-258.
    • (1993) European J. Combin. , vol.14 , pp. 251-258
    • Stanley, R.P.1
  • 24
    • 0003611984 scopus 로고    scopus 로고
    • University Lecture Series, American Mathematical Society, Providence, RI
    • B. Sturmfels, Gröbner Bases and Convex Polytopes, University Lecture Series 8, American Mathematical Society, Providence, RI, 1996.
    • (1996) Gröbner Bases and Convex Polytopes , vol.8
    • Sturmfels, B.1


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