1 citations · 1 across the 6 of their papers we have counts for
7 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 b…
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 that when a graph is ternary (without induced cycles of length divisible by three), its independence complex is either contractible or homoto…
Reconstructing a shellable sphere from its facet-ridge graph
Yirong Yang
We show that the facet-ridge graph of a shellable simplicial sphere uniquely determines the entire combinatorial structure of . This generalizes the celebrated result due to…
The Nevo--Santos--Wilson spheres are shellable
Yirong Yang
Nevo, Santos, and Wilson constructed combinatorially distinct simplicial -spheres with vertices. We prove that all spheres produced by one of their methods…
Symplectic embeddings of four-dimensional polydisks into half integer ellipsoids
Leo Digiosia, Jo Nelson, Haoming Ning +2
We obtain new sharp obstructions to symplectic embeddings of four-dimensional polydisks into four-dimensional ellipsoids when and is a half-integ…