4 papers
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…
Lattice characterization of cyclic interval hypergraphic posets
Félix Gélinas, Yirong Yang
Hypergraphic polytopes arise as Minkowski sums of simplices indexed by the hyperedges of a hypergraph . Orienting the -skeleton of such a polytope…
An Efficient Triangulation of
Dan Guyer, Stefan Steinerberger, Yirong Yang
We present a -dimensional centrally symmetric simplicial polytope for which the antipodal quotient of its boundary forms a -vertex triangulation of the -dimensional real…
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…