Sign-graded posets, unimodality of W-polynomials and the Charney-Davis Conjecture

Electronic Journal of Combinatorics

Volumn 11, Issue 2 R, 2004, Pages 1-15

  Brändén, Petter ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8844287655     PISSN: 10778926     EISSN: None     Source Type: Journal    
DOI: 10.37236/1866     Document Type: Article

References (17)

1. P. Brändén, On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture, J.Algebraic Comb. (to appear).
2. F. Brenti, Unimodal, log-concave and Pólya frequency sequences in combinatorics, Mem. Amer. Math. Soc. 81 (1989).
3. R. Charney and M. Davis, The Euler characteristic of a nonpositively curved, piecewise Euclidean manifold, Pacific J. Math. 171 (1995), 117-137.
4. J. N. Darroch, On the distribution of the number of successes in independent trials, Ann. Math. Statist. 35 (1965), 1317-1321.
5. D. Foata and V. Strehl, Euler numbers and variations of permutations, in Colloquio Internazionale sulle Teorie Combinatorie 1973, Tome I (Atti Dei Convegni Lincei, 17, 119-131), Accademia Nazionale dei Lincei, 1976.
6. S. Gal, Real Root Conjecture fails for five and higher dimensional spheres, Preprint.
7. V. Gasharov, On the Neggers-Stanley conjecture and the Eulerian polynomials, J. Combin. Theory Ser. A 82 (1998), 134-146.
8. J. Neggers, Representations of 3nite partially ordered sets, J. Combin. Inform. System Sci 3 (1978), 113-133.
9. V. Reiner and D. Stanton and V. Welker, The Charney-Davis Quantity for certain graded posets, Sém. Lothar. Combin. 50 (2003).
10. V. Reiner and V. Welker, On the Charney-Davis and the Neggers-Stanley Conjectures, J. Combin. Theory Ser. A (to appear).
11. L. W. Shapiro and W. J. Jin and S. Seyoum, Runs, slides and moments, SIAM J. Algebraic Discrete Methods 4 (1983), 459-466.
12. R. P. Stanley, Some remarks on sign-balanced and maj-balanced posets, Advances in Applied Math. (to appear).
13. R. P. Stanley, Enumerative combinatorics. Vol. 1, Cambridge University Press (1997).
14. R. P. Stanley, Ordered structures and partitions, Mem. Amer. Math. Soc. 119 (1972).
15. R. P. Stanley, The number of faces of simplicial polytopes and spheres. In Discrete geometry and convexity, New York Acad. Sci. (1985).
16. R. P. Stanley, Combinatorics and commutative algebra, Birkhäuser Boston Inc. (1996).
17. D. G. Wagner, Enumeration of functions from posets to chains, European J. Combin. 13 (1992).