3 citations · 8 across the 13 of their papers we have counts for
3 papers · 1 filter
Relations on Generalized Degree Sequences
Caroline J. Klivans, Kathryn L. Nyman, Bridget E. Tenner
We study degree sequences for simplicial posets and polyhedral complexes, generalizing the well-studied graphical degree sequences. Here we extend the more common generalization of…
Homotopy Type of the Boolean Complex of a Coxeter System
Kari Ragnarsson, Bridget Eileen Tenner
In any Coxeter group, the set of elements whose principal order ideals are boolean forms a simplicial poset under the Bruhat order. This simplicial poset defines a cell complex, ca…
Obtainable Sizes of Topologies on Finite Sets
Kari Ragnarsson, Bridget Eileen Tenner
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order…