Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655822 | Journal of Combinatorial Theory, Series A | 2011 | 17 Pages |
Abstract
We prove that the γ-vector of the barycentric subdivision of a simplicial sphere is the f-vector of a balanced simplicial complex. The combinatorial basis for this work is the study of certain refinements of Eulerian numbers used by Brenti and Welker to describe the h-vector of the barycentric subdivision of a boolean complex.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics