Barycentric subdivisions
A characterization is given of simplicial polytopes that are barycentric subdivisions of regular CW spheres. It is shown that barycentric subdivisions of connected polyhedral complexes with at least two facets determine the underlying complex uniquely up to duality. Connections with the algorithmic theory of comparability graphs are discussed. The f- vectors of regular CW spheres are characterized.
barycentric subdivisions of regular CW spheres
algorithmic theory of comparability graphs
scientific article; zbMATH DE number 4020020