A Note on Masspartitions by Hyperplanes
Combinatorics
2010-01-05 v1
Abstract
A triple of positive integers (d,h,m) is admissible if for any m given masses in R^d there exist h hyperplanes that cut each of these masses into 2^h equal pieces. We present an elementary reduction which combined with results by Ramos (1996) yields all the admissible triples that were known up to now (with one exception) as well as new ones.
Keywords
Cite
@article{arxiv.1001.0193,
title = {A Note on Masspartitions by Hyperplanes},
author = {Benjamin Matschke},
journal= {arXiv preprint arXiv:1001.0193},
year = {2010}
}
Comments
3 pages, 1 figure