On the $f$- and $h$-triangle of the barycentric subdivision of a simplicial complex

Title:

On the $f$- and $h$-triangle of the barycentric subdivision of a simplicial complex

Creator:

Ahmad, Sarfraz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4be5c182-7ed6-493f-a484-97fb9a0035f1
uuid:4be5c182-7ed6-493f-a484-97fb9a0035f1

Subject:

symmetric group, simplicial complex, $f$- and $h$-vector (triangle), and barycentric subdivision of a simplicial complex

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

For a simplicial complex $\Delta $ 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 $\mathop {\rm sd}(\Delta )$. The same has been done for $f$- and $h$-vector of $\mathop {\rm sd}(\Delta )$ by F. Brenti, V. Welker (2008). As a consequence we show that if the entries of the $h$-triangle of $\Delta $ are nonnegative, then the entries of the $h$-triangle of $\mathop {\rm sd}(\Delta )$ are also nonnegative. We conclude with a few properties of the $h$-triangle of $\mathop {\rm sd}(\Delta )$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

989-994

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:4

Harvested from:

CDK

Metadata only:

false