Regular flip equivalence of surface triangulations
几何拓扑
2007-05-23 v2 组合数学
摘要
Any two triangulations of a closed surface with the same number of vertices can be transformed into each other by a sequence of regular flips, provided the number of vertices exceeds a number N depending on the surface. Examples show that in general N is bigger than the minimal number of vertices of a triangulation. The existence of N was known, but no estimate. This paper provides an estimate for N that is linear in the Euler characteristic of the surface.
引用
@article{arxiv.math/9903136,
title = {Regular flip equivalence of surface triangulations},
author = {Simon A. King},
journal= {arXiv preprint arXiv:math/9903136},
year = {2007}
}
备注
4 pages, 5 figures. Final version