On the f- and h-triangle of the barycentric subdivision of a simplicial complex |
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Authors: | Sarfraz Ahmad |
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Institution: | 1. COMSATS Institute of Information Technology, Lahore, Pakistan
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Abstract: | 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). |
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