Abstract
We present two classes of level Eulerian posets. Both classes contain intervals of rank k+1 whose cd-index is the sum over all cd-monomials w of degree k and the coefficient of the monomial w is r to the power of the number of d's in w. We also show that the order complexes of every interval in the first class are homeomorphic to spheres.
| Original language | English |
|---|---|
| Article number | 114127 |
| Journal | Discrete Mathematics |
| Volume | 347 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 2024 |
Bibliographical note
Publisher Copyright:© 2024 Elsevier B.V.
Funding
The author thanks Margaret Readdy and the two referees for their comments on an earlier draft of this paper. This work was partially supported by a grant from the Simons Foundation (#854548 to Richard Ehrenborg). The author thank Margaret Readdy and the two referees for their comments on an earlier draft of this paper. This work was partially supported by grants from the Simons Foundation (#854548 to Richard Ehrenborg).
| Funders | Funder number |
|---|---|
| Margaret Readdy | |
| Simons Foundation | 854548 |
Keywords
- Level Eulerian posets
- Non-commutative rational series
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics