Article ID Journal Published Year Pages File Type
4655822 Journal of Combinatorial Theory, Series A 2011 17 Pages PDF
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