English

Large subgraphs without complete bipartite graphs

Combinatorics 2014-01-28 v1

Abstract

In this note, we answer the following question of Foucaud, Krivelevich and Perarnau. What is the size of the largest Kr,sK_{r,s}-free subgraph one can guarantee in every graph GG with mm edges? We also discuss the analogous problem for hypergraphs.

Cite

@article{arxiv.1401.6711,
  title  = {Large subgraphs without complete bipartite graphs},
  author = {David Conlon and Jacob Fox and Benny Sudakov},
  journal= {arXiv preprint arXiv:1401.6711},
  year   = {2014}
}

Comments

4 pages

R2 v1 2026-06-22T02:55:05.995Z