Signs in the cd-index of eulerian partially ordered sets

Proceedings of the American Mathematical Society

Volumn 129, Issue 8, 2001, Pages 2219-2225

  Bayer, Margaret M ^a  

^a UNIVERSITY OF KANSAS   (United States)

Author keywords

Cd index; Eulerian poset; Flag vector

Indexed keywords

EID: 23044527266     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05831-7     Document Type: Article

References (13)

1. Margaret M. Bayer and Louis J. Billera, Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets, Invent. Math. 79 (1985), 143-157. MR 86f:52010b
2. Margaret M. Bayer and Gábor Hetyei, Flag vectors of Eulerian partially ordered sets, European J. Combin. (to appear).
3. Generalizations of Eulerian partially ordered sets, flag numbers, and the Möbius function, preprint 2000.
4. Margaret M. Bayer and Andrew Klapper, A new index for polytopes, Discrete Comput. Geom. 6 (1991), 33-47. MR 91k:52024
5. Louis J. Billera and Richard Ehrenborg, Monotonicity of the cd-index for polytopes, Math. Z. 233 (2000), 421-441.
6. Louis J. Billera and Gábor Hetyei, Linear inequalities for flags in graded partially ordered sets, J. Combin. Theory Ser. A 89 (2000), 77-10-1. CMP 2000:07
7. Louis J. Billera and Niandong Liu, Noncommutative enumeration in graded posets, J. Algebraic Combin. 12 (2000), 7-24.
8. Richard Ehrenborg and Margaret Readdy, Coproducts and the cd-index, J. Algebraic Combin. 8 (1998), 273-299. MR 2000b:52009
9. Gil Kalai, A new basis of polytopes, J. Combin. Theory Scr. A 49 (1988), 191-209. MR 90a:52012
10. Isabella Novik, Lower bounds for the cd-index of odd-dimensional simplicial manifolds, European J. Combin. 21 (2000), 533-541.
11. Mark Purtill, André permutations, lexicographic shellability and the cd-index of a convex polytope, Trans. Amer. Math. Soc. 338 (1993), 77-101. MR 93j:52017
12. Richard P. Stanley, Flag f-vectors and the cd-index, Math. Z. 216 (1994), 483-499. MR 96b:06006
13. Positivity problems and conjectures in algebraic combinatorics, Mathematics: Frontiers and Perspectives, Amer. Math. Soc., Providence, RI, 2000, pp. 295-319. CMP 2000:13