Intersection number and the stability of some inscribable graphs
Metric Geometry
2015-01-05 v2 Geometric Topology
Abstract
A planar graph is inscribable if it is combinatorial equivalent to the skeleton of a polyhedra which is inscribed in a sphere. For an inscribable graph, in its combinatorial equivalent class, if we could always find polyhedra inscribed in any given convex surface which is sufficiently close to the sphere, then we call such an inscribable graph a stable one. By combining the Teichm\"{u}ller theory of packings with differential topology method, in this paper there is investigation on the stability of some inscribable graphs.
Keywords
Cite
@article{arxiv.1412.5670,
title = {Intersection number and the stability of some inscribable graphs},
author = {Jinsong Liu and Ze Zhou},
journal= {arXiv preprint arXiv:1412.5670},
year = {2015}
}
Comments
14 pages, 4 figures. arXiv admin note: text overlap with arXiv:1412.5430