Highly Influenced

# Relationships Among Flag f-Vector Inequalities for Polytopes

@article{Stenson2004RelationshipsAF, title={Relationships Among Flag f-Vector Inequalities for Polytopes}, author={Catherine Stenson}, journal={Discrete & Computational Geometry}, year={2004}, volume={31}, pages={257-273} }

- Published 2004 in Discrete & Computational Geometry
DOI:10.1007/s00454-003-0756-0

We examine linear inequalities satisfied by the flag f -vectors of polytopes. One source of these inequalities is the toric g-vector; convolutions of its entries are nonnegative for rational polytopes. We prove a conjecture of Meisinger about a redundancy in these inequalities. Another source of inequalities is the cd-index; among all d-polytopes, each cd-index coefficient is minimized on the d-simplex. We show that not all of the cdindex inequalities are implied by the toric g-vector… CONTINUE READING