On r-stacked triangulated manifolds
Combinatorics
2012-09-06 v1 Commutative Algebra
Abstract
The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study their basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.
Keywords
Cite
@article{arxiv.1209.0868,
title = {On r-stacked triangulated manifolds},
author = {Satoshi Murai and Eran Nevo},
journal= {arXiv preprint arXiv:1209.0868},
year = {2012}
}
Comments
15 pages