English

Interval minors of complete bipartite graphs

Combinatorics 2014-08-07 v1 Discrete Mathematics

Abstract

Interval minors of bipartite graphs were recently introduced by Jacob Fox in the study of Stanley-Wilf limits. We investigate the maximum number of edges in Kr,sK_{r,s}-interval minor free bipartite graphs. We determine exact values when r=2r=2 and describe the extremal graphs. For r=3r=3, lower and upper bounds are given and the structure of K3,sK_{3,s}-interval minor free graphs is studied.

Keywords

Cite

@article{arxiv.1408.1155,
  title  = {Interval minors of complete bipartite graphs},
  author = {Bojan Mohar and Arash Rafiey and Behruz Tayfeh-Rezaie and Hehui Wu},
  journal= {arXiv preprint arXiv:1408.1155},
  year   = {2014}
}
R2 v1 2026-06-22T05:21:23.313Z