Flags and shellings of Eulerian cubical posets (Q1575088)

The authors generalize Stanley's theorem to cubical partially ordered sets. The linear relations, established between the \textbf{cd}-indices of semisuspended cubical shelling components, allow them to express the \textbf{cd}-index of a shellable cubical sphere in terms of an \(h\)-vector. This \(h\)-vector turns out to be the normalized version of the cubical \(h\)-vector suggested by Adin. The authors prove a signed analog of Stanley's conjecture and obtain a new description of the \textbf{cd}-index of semisuspended simplicial shelling components.