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Volumn 8, Issue 3, 1998, Pages 273-299

Coproducts and the cd-Index

Author keywords

cd index; Coalgebra; Convex polytope; Eulerian poset

Indexed keywords


EID: 0000324159     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008614816374     Document Type: Article
Times cited : (80)

References (26)
  • 1
    • 0000180080 scopus 로고
    • Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
    • M. Bayer and L. 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.1    Billera, L.2
  • 4
    • 33646886315 scopus 로고
    • Shellable and Cohen-Macaulay partially ordered sets
    • A. Björner, "Shellable and Cohen-Macaulay partially ordered sets," Trans. Amer. Math. Soc. 260 (1980), 159-183.
    • (1980) Trans. Amer. Math. Soc. , vol.260 , pp. 159-183
    • Björner, A.1
  • 5
    • 0030584844 scopus 로고    scopus 로고
    • On posets and Hopf algebras
    • R. Ehrenborg, "On posets and Hopf algebras," Adv. Math. 119 (1996), 1-25.
    • (1996) Adv. Math. , vol.119 , pp. 1-25
    • Ehrenborg, R.1
  • 8
    • 21444444132 scopus 로고    scopus 로고
    • The r-cubical lattice and a generalization of the cd-index
    • R. Ehrenborg and M. Readdy, "The r-cubical lattice and a generalization of the cd-index," European J. Combin. 17 (1996), 709-725.
    • (1996) European J. Combin. , vol.17 , pp. 709-725
    • Ehrenborg, R.1    Readdy, M.2
  • 10
    • 0003103464 scopus 로고
    • Nombres d'Euler et permutations alternantes
    • J.N. Srivastava et al. (Eds.), Amsterdam, North-Holland
    • D. Foata and M.P. Schützenberger, "Nombres d'Euler et permutations alternantes," in A Survey of Combinatorial Theory, J.N. Srivastava et al. (Eds.), Amsterdam, North-Holland, 1973, pp. 173-187.
    • (1973) A Survey of Combinatorial Theory , pp. 173-187
    • Foata, D.1    Schützenberger, M.P.2
  • 11
    • 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
  • 12
    • 38249015830 scopus 로고
    • Coalgebraic foundation of the method of divided differences
    • P.S. Hirschhorn and L.A. Raphael, "Coalgebraic foundation of the method of divided differences," Adv. Math. 91 (1992), 75-135.
    • (1992) Adv. Math. , vol.91 , pp. 75-135
    • Hirschhorn, P.S.1    Raphael, L.A.2
  • 13
    • 0002738602 scopus 로고
    • Coalgebras and bialgebras in combinatorics
    • S.A. Joni and G.-C. Rota, "Coalgebras and bialgebras in combinatorics," Stud. Appl. Math. 61 (1979), 93-139.
    • (1979) Stud. Appl. Math. , vol.61 , pp. 93-139
    • Joni, S.A.1    Rota, G.-C.2
  • 14
    • 0000345052 scopus 로고
    • A new basis of polytopes
    • G. Kalai, "A new basis of polytopes," J. Combin. Theory Ser. A 49 (1988), 191-209.
    • (1988) J. Combin. Theory Ser. A , vol.49 , pp. 191-209
    • Kalai, G.1
  • 17
    • 84968502286 scopus 로고
    • André permutations, lexicographic shellability and the cd-index of a convex polytope
    • M. Purtill, "André permutations, lexicographic shellability and the cd-index of a convex polytope," Trans. Amer. Math. Soc. 338 (1993), 77-104.
    • (1993) Trans. Amer. Math. Soc. , vol.338 , pp. 77-104
    • Purtill, M.1
  • 18
    • 0001101401 scopus 로고
    • Antipodes and incidence coalgebras
    • W.R. Schmitt, "Antipodes and incidence coalgebras," J. Combin. Theory Ser. A 46 (1987), 264-290.
    • (1987) J. Combin. Theory Ser. A , vol.46 , pp. 264-290
    • Schmitt, W.R.1
  • 19
    • 0003652674 scopus 로고
    • Wadsworth and Brooks/Cole, Pacific Grove
    • R.P. Stanley, Enumerative Combinatorics, Vol. I, Wadsworth and Brooks/Cole, Pacific Grove 1986.
    • (1986) Enumerative Combinatorics , vol.1
    • Stanley, R.P.1
  • 20
    • 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
  • 21
    • 0000453587 scopus 로고
    • A survey of Eulerian posets
    • Polytopes: Abstract, Convex, and Computational, T. Bisztriczky, P. McMullen, R. Schneider, and A.I. Weiss (Eds.), Kluwer Academic Publishers
    • R.P. Stanley, "A survey of Eulerian posets," in Polytopes: Abstract, Convex, and Computational, T. Bisztriczky, P. McMullen, R. Schneider, and A.I. Weiss (Eds.), NATO ASI Series C, Vol. 440, Kluwer Academic Publishers, 1994.
    • (1994) NATO ASI Series C , vol.440
    • Stanley, R.P.1
  • 22
    • 0000342981 scopus 로고
    • The homology representation of the symmetric group on Cohen-Macaulay subposets of the partition lattice
    • S. Sundaram, "The homology representation of the symmetric group on Cohen-Macaulay subposets of the partition lattice," Adv. Math. 104 (1994), 225-296.
    • (1994) Adv. Math. , vol.104 , pp. 225-296
    • Sundaram, S.1
  • 23
    • 0010956779 scopus 로고
    • The homology of partitions with an even number of blocks
    • S. Sundaram, "The homology of partitions with an even number of blocks," J. Alg. Combin. 4 (1995), 69-92.
    • (1995) J. Alg. Combin. , vol.4 , pp. 69-92
    • Sundaram, S.1
  • 25
    • 1842752332 scopus 로고    scopus 로고
    • personal communication
    • M. Webster, personal communication.
    • Webster, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.