English

A note on 3-colorable plane graphs without 5- and 7-cycles

Combinatorics 2008-10-09 v1

Abstract

Borodin et al figured out a gap of the paper published at J. Combinatorial Theory Ser. B (Vol.96 (2006) 958--963), and gave a new proof with the similar technique. The purpose of this note is to fix the gap by slightly revising the definition of special faces, and adding a few lines of explanation in the proofs (new added text are all in black font).

Keywords

Cite

@article{arxiv.0810.1437,
  title  = {A note on 3-colorable plane graphs without 5- and 7-cycles},
  author = {Baogang Xu},
  journal= {arXiv preprint arXiv:0810.1437},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T11:28:36.692Z