Barycenters of points that are constrained to a polytope skeleton
Metric Geometry
2015-11-16 v2 Combinatorics
Abstract
We give a short and simple proof of a recent result of Dobbins that any point in an -polytope is the barycenter of points in the -skeleton. This new proof builds on the constraint method that we recently introduced to prove Tverberg-type results.
Keywords
Cite
@article{arxiv.1411.4417,
title = {Barycenters of points that are constrained to a polytope skeleton},
author = {Pavle V. M. Blagojević and Florian Frick and Günter M. Ziegler},
journal= {arXiv preprint arXiv:1411.4417},
year = {2015}
}
Comments
2 pages. This manuscript is now part of arXiv:1510.07984