Authors: Blagojević, Pavle 
Ziegler, Günter
Title: Convex equipartitions via Equivariant Obstruction Theory
Journal: Israel Journal of Mathematics
Volume: 200
Issue: 1
First page: 49
Last page: 77
Issue Date: 1-Jan-2014
Rank: M21
ISSN: 0021-2172
DOI: 10.1007/s11856-014-1006-6
Abstract: 
We describe a regular cell complex model for the configuration space F(ℝd, n). Based on this, we use Equivariant Obstruction Theory to prove the prime power case of the conjecture by Nandakumar and Ramana Rao that every polygon can be partitioned into n convex parts of equal area and perimeter.
Publisher: Springer Link
Project: European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC, Grant agreement no. 247029-SDModels
Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security 

Show full item record

SCOPUSTM   
Citations

44
checked on Nov 18, 2024

Page view(s)

23
checked on Nov 19, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.