Combinatorial rigidity of 3-dimensional simplicial polytopes
Combinatorics
2011-08-30 v1 Algebraic Topology
Abstract
A simplicial polytope is combinatorially rigid if its combinatorial structure is determined by its graded Betti numbers which are important invariant coming from combinatorial commutative algebra. We find a necessary condition to be combinatorially rigid for 3-dimensional reducible simplicial polytopes and provide some rigid reducible simplicial polytopes.
Keywords
Cite
@article{arxiv.1002.0828,
title = {Combinatorial rigidity of 3-dimensional simplicial polytopes},
author = {Suyoung Choi and Jang Soo Kim},
journal= {arXiv preprint arXiv:1002.0828},
year = {2011}
}
Comments
13 pages, 4 figures