48 citations · 135 across the 26 of their papers we have counts for
6 papers · 1 filter
The Rees product of posets
Patricia Muldoon Brown, Margaret A. Readdy
We determine how the flag f-vector of any graded poset changes under the Rees product with the chain, and more generally, any t-ary tree. As a corollary, the Möbius function of the…
On the non-existence of an R-labeling
Richard Ehrenborg, Margaret Readdy
We present a family of Eulerian posets which does not have any R-labeling. The result uses a structure theorem for R-labelings of the butterfly poset.
Exponential Dowling structures
Richard Ehrenborg, Margaret Readdy
The notion of exponential Dowling structures is introduced, generalizing Stanley's original theory of exponential structures. Enumerative theory is developed to determine the Möbiu…
The Möbius function of partitions with restricted block size
Richard Ehrenborg, Margaret Readdy
We study filters in the partition lattice formed by restricting to partitions by type. The Möbius function is determined in terms of the easier-to-compute descent set statistics on…
Level Eulerian Posets
Richard Ehrenborg, Gábor Hetyei, Margaret Readdy
The notion of level posets is introduced. This class of infinite posets has the property that between every two adjacent ranks the same bipartite graph occurs. When the adjacency m…
Enumerative and asymptotic analysis of a moduli space
Margaret A. Readdy
We focus on combinatorial aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. We show its graded Hilbert series satisfi…