English

Induced Forests in Bipartite Planar Graphs

Combinatorics 2016-05-03 v1

Abstract

Akiyama and Watanabe conjectured that every simple planar bipartite graph on nn vertices contains an induced forest on at least 5n/85n/8 vertices. We apply the discharging method to show that every simple bipartite planar graph on nn vertices contains an induced forest on at least (4n+3)/7\lceil (4n+3)/7 \rceil vertices.

Keywords

Cite

@article{arxiv.1605.00047,
  title  = {Induced Forests in Bipartite Planar Graphs},
  author = {Yan Wang and Qiqin Xie and Xingxing Yu},
  journal= {arXiv preprint arXiv:1605.00047},
  year   = {2016}
}
R2 v1 2026-06-22T13:45:08.991Z