Two classes of level Eulerian posets
arXiv:2406.10080 · doi:10.1016/j.disc.2024.114127
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.
18 pages, 2 figures