4 papers · 1 filter
Polytopal Bier spheres and nonrealizable central symmetries
Thiago Holleben, Yirong Yang
Bier spheres arise as deleted joins of simplicial complexes with their combinatorial Alexander duals and form one of the largest known families of simplicial spheres. We study cent…
Symmetric (co)homology polytopes
Torben Donzelmann, Thiago Holleben, Martina Juhnke
Symmetric edge polytopes are a recent and well-studied family of centrally symmetric polytopes arising from graphs. In this paper, we introduce a generalization of this family to a…
Planar ternary graphs, flag spheres, and Delannoy polynomials
Margaret Bayer, Richard Danner, Thiago Holleben +2
In 2022 Kim showed when a graph is ternary (without induced cycles of length divisible by three), its independence complex is either contractible or homotopy eq…
Spheres and balls as independence complexes
Susan M. Cooper, Sara Faridi, Thiago Holleben +2
The terms "whiskering", and more generally "grafting", refer to adding generators to any monomial ideal to make the resulting ideal Cohen-Macaulay. We investigate the independence…