On the f- and h-triangle of the barycentric subdivision of a simplicial complex
Sarfraz Ahmad · Czechoslovak Mathematical Journal · 2013
For a simplicial complex Δ we study the behavior of its f - and h -triangle under the action of barycentric subdivision. In particular we describe the f - and h -triangle of its barycentric subdivision sd(Δ). The same has been done for f - and h -vector of sd(Δ) by F. Brenti, V. Welker (2008). As a consequence we show that if the entries of the h -triangle of Δ are nonnegative, then the entries of the h -triangle of sd(Δ) are also nonnegative. We conclude with a few properties of the h -triangle of sd(Δ).