English

Bipartizing fullerenes

Combinatorics 2018-10-26 v1

Abstract

A fullerene graph is a cubic bridgeless planar graph with twelve 5-faces such that all other faces are 6-faces. We show that any fullerene graph on n vertices can be bipartized by removing O(sqrt{n}) edges. This bound is asymptotically optimal.

Keywords

Cite

@article{arxiv.1106.0420,
  title  = {Bipartizing fullerenes},
  author = {Zdenek Dvorak and Bernard Lidicky and Riste Skrekovski},
  journal= {arXiv preprint arXiv:1106.0420},
  year   = {2018}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-21T18:16:42.937Z