English

Biholes in balanced bipartite graphs

Combinatorics 2020-04-13 v2

Abstract

A bihole in a bipartite graph GG with partite sets AA and BB is an independent set II in GG with IA=IB|I\cap A|=|I\cap B|. We prove lower bounds on the largest order of biholes in balanced bipartite graphs subject to conditions involving the vertex degrees and the average degree.

Keywords

Cite

@article{arxiv.2004.03245,
  title  = {Biholes in balanced bipartite graphs},
  author = {Stefan Ehard and Elena Mohr and Dieter Rautenbach},
  journal= {arXiv preprint arXiv:2004.03245},
  year   = {2020}
}
R2 v1 2026-06-23T14:42:30.297Z