English

A classification of polyhedral graph by combinatorially rigid vertices

Metric Geometry 2017-03-16 v2 Combinatorics

Abstract

When the number of non-triangular faces adjacent to a vertex vv is less than or equal to three, the vertex vv will be called (\emph{combinatorially}) \emph{rigid}. We study the number of rigid vertices and suggest a conjecture on a classification of polyhedra.

Keywords

Cite

@article{arxiv.1610.06425,
  title  = {A classification of polyhedral graph by combinatorially rigid vertices},
  author = {Seonhwa Kim and Yunhi Cho},
  journal= {arXiv preprint arXiv:1610.06425},
  year   = {2017}
}
R2 v1 2026-06-22T16:26:39.001Z