Octahedralizing 3-colorable 3-polytopes
Combinatorics
2019-12-19 v2
Abstract
We investigate the question of whether any -colorable simplicial -polytope can be octahedralized, i.e., it can be subdivided to a -dimensional geometric cross-polytopal complex. We give a positive answer in dimension , with the additional property that the octahedralization introduces no new vertices on the boundary of the polytope.
Keywords
Cite
@article{arxiv.1903.10178,
title = {Octahedralizing 3-colorable 3-polytopes},
author = {Giulia Codenotti and Lorenzo Venturello},
journal= {arXiv preprint arXiv:1903.10178},
year = {2019}
}
Comments
13 pages, 6 figures, revised version