Interval minors of complete bipartite graphs
  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 $K_{r,s}$-interval minor free bipartite graphs. We determine exact values when $r=2$ and describe the extremal graphs. For $r=3$, lower and upper bounds are given and the structure of $K_{3,s}$-interval minor free graphs is studied. 
Bojan Mohar, Arash Rafiey, Behruz Tayfeh-Rezaie, Hehui Wu
math.CO cs.DM