Two classes of level Eulerian posets
Combinatorics
2024-06-17 v1
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.
Cite
@article{arxiv.2406.10080,
title = {Two classes of level Eulerian posets},
author = {Richard Ehrenborg},
journal= {arXiv preprint arXiv:2406.10080},
year = {2024}
}
Comments
18 pages, 2 figures