English

On contractible edges in convex decompositions

Combinatorics 2017-09-19 v1

Abstract

Let Π\Pi be a convex decomposition of a set PP of n3n\geq 3 points in general position in the plane. If Π\Pi consists of more than one polygon, then either Π\Pi contains a deletable edge or Π\Pi contains a contractible edge.

Keywords

Cite

@article{arxiv.1709.05995,
  title  = {On contractible edges in convex decompositions},
  author = {Ferran Hurtado and Eduardo Rivera-Campo},
  journal= {arXiv preprint arXiv:1709.05995},
  year   = {2017}
}
R2 v1 2026-06-22T21:47:03.736Z