Geometric realization of $\gamma$-vectors of 2-truncated cubes
Combinatorics
2015-06-11 v1
Abstract
This paper continues investigation of the class of flag simple polytopes called 2-truncated cubes. It is an extended version of the short note Volodin (2012). A 2-truncated cube is a polytope obtained from a cube by sequence of truncations of codimension 2 faces. Constructed uniquely defined function which maps any 2-truncated cube to a flag simplicial complex with -vector equal to -vector of the polytope. As a corollary we obtain that -vectors of 2-truncated cubes satisfy Frankl-Furedi-Kalai inequalities.
Keywords
Cite
@article{arxiv.1210.0398,
title = {Geometric realization of $\gamma$-vectors of 2-truncated cubes},
author = {Vadim Volodin},
journal= {arXiv preprint arXiv:1210.0398},
year = {2015}
}