Constructions for 4-Polytopes and the Cone of Flag Vectors
Combinatorics
2007-05-23 v2
Abstract
We describe a construction for d-polytopes generalising the well known stacking operation. The construction is applied to produce 2-simplicial and 2-simple 4-polytopes with g_2=0 on any number of n >= 13 vertices. In particular, this implies that the ray l_1, described by Bayer (1987), is fully contained in the convex hull of all flag vectors of 4-polytopes. Especially interesting examples on 9, 10 and 11 vertices are presented.
Keywords
Cite
@article{arxiv.math/0511751,
title = {Constructions for 4-Polytopes and the Cone of Flag Vectors},
author = {Andreas Paffenholz and Axel Werner},
journal= {arXiv preprint arXiv:math/0511751},
year = {2007}
}
Comments
20 pages, 18 figures; minor corrections and changes in notation, added reference