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Volumn 21, Issue 4, 2000, Pages 533-541

Lower Bounds for the cd-index of Odd-dimensional Simplicial Manifolds

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EID: 0034380361     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1999.0352     Document Type: Article
Times cited : (8)

References (16)
  • 2
    • 0000180080 scopus 로고
    • Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
    • M. M. Bayer and L. J. Billera, Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets, Invent. Math., 79 (1985), 143-157.
    • (1985) Invent. Math. , vol.79 , pp. 143-157
    • Bayer, M.M.1    Billera, L.J.2
  • 4
    • 85031544694 scopus 로고    scopus 로고
    • Monotonicity of the cd-index for polytopes
    • to appear
    • L. J. Billera and R. Ehrenborg, Monotonicity of the cd-index for polytopes, Math. Z., to appear.
    • Math. Z.
    • Billera, L.J.1    Ehrenborg, R.2
  • 5
    • 0001166835 scopus 로고
    • An extended Euler-Poincaré theorem
    • A. Björner and G. Kalai, An extended Euler-Poincaré theorem, Acta Math., 161 (1988), 279-303.
    • (1988) Acta Math. , vol.161 , pp. 279-303
    • Björner, A.1    Kalai, G.2
  • 7
    • 0000324159 scopus 로고    scopus 로고
    • Coproducts and the cd-index
    • R. Ehrenborg and M. Readdy, Coproducts and the cd-index, J. Algebr. Comb., 8 (1998), 273-299.
    • (1998) J. Algebr. Comb. , vol.8 , pp. 273-299
    • Ehrenborg, R.1    Readdy, M.2
  • 9
    • 0030515071 scopus 로고    scopus 로고
    • On the cd-variation polynomials of André and Simsun permutations
    • G. Hetyei, On the cd-variation polynomials of André and Simsun permutations, Discrete Comput. Geom., 16 (1996), 259-275.
    • (1996) Discrete Comput. Geom. , vol.16 , pp. 259-275
    • Hetyei, G.1
  • 10
    • 0013553773 scopus 로고
    • The diameter of graphs of convex polytopes and f-vector theory, Applied Geometry and Discrete Mathematics
    • The Victor Klee Festschrift, P. Gritzmann and B. Sturmfels (eds)
    • G. Kalai, The diameter of graphs of convex polytopes and f-vector theory, Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, P. Gritzmann and B. Sturmfels (eds), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 4, 1991, pp. 387-411.
    • (1991) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.4 , pp. 387-411
    • Kalai, G.1
  • 11
    • 0000740067 scopus 로고
    • A combinatorial analogue of Poincaré's duality theorem
    • V. Klee, A combinatorial analogue of Poincaré's duality theorem, Can. J. Math., 16 (1964), 517-531.
    • (1964) Can. J. Math. , vol.16 , pp. 517-531
    • Klee, V.1
  • 12
    • 0013011018 scopus 로고    scopus 로고
    • Upper bound theorems for homology manifolds
    • I. Novik, Upper bound theorems for homology manifolds, Israel J. Math., 108 (1998), 45-82.
    • (1998) Israel J. Math. , vol.108 , pp. 45-82
    • Novik, I.1
  • 13
    • 0002504648 scopus 로고
    • On the number of faces of simplicial complexes and the purity of Frobenius
    • P. Schenzel, On the number of faces of simplicial complexes and the purity of Frobenius, Math. Z., 178 (1981), 125-142.
    • (1981) Math. Z. , vol.178 , pp. 125-142
    • Schenzel, P.1
  • 14
    • 51249168788 scopus 로고
    • Flag f-vectors and the cd-index
    • R. P. Stanley, Flag f-vectors and the cd-index, Math. Z., 216 (1994), 483-499.
    • (1994) Math. Z. , vol.216 , pp. 483-499
    • Stanley, R.P.1
  • 15
    • 0000453587 scopus 로고
    • A survey of Eulerian posets
    • T. Bistriczky et al. (ed.), Kluwer Academic Publishers, Dordrecht, NATO ASI Series C
    • R. P. Stanley, A survey of Eulerian posets, in: Polytopes: Abstract, Convex and Computational, T. Bistriczky et al. (ed.), Kluwer Academic Publishers, Dordrecht, 1994, NATO ASI Series C, vol. 440, pp. 301-333.
    • (1994) Polytopes: Abstract, Convex and Computational , vol.440 , pp. 301-333
    • Stanley, R.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.