131 citations
- American Physical SocietyUS3 papers
- Fermi National Accelerator LaboratoryUS3 papers
- Indiana University BloomingtonUS3 papers
- School of the Art Institute of ChicagoUS3 papers
- University of ArizonaUS3 papers
- University of California, Santa BarbaraUS3 papers
- University of Illinois Urbana-ChampaignUS3 papers
- University of MilanIT3 papers
- University of the PacificUS3 papers
- University of UtahUS3 papers
- Washington University in St. LouisUS3 papers
- University of Southern CaliforniaUS2 papers
5 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…
Domino Tiling Congruence Modulo 4
Bridget Eileen Tenner
The number of domino tilings of a region with reflective symmetry across a line is combinatorially shown to depend on the number of domino tilings of particular subregions, modulo…
Colored posets and colored quasisymmetric functions
Samuel K. Hsiao, T. Kyle Petersen
The colored quasisymmetric functions, like the classic quasisymmetric functions, are known to form a Hopf algebra with a natural peak subalgebra. We show how these algebras arise a…