## k-Gap Interval Graphs

- Fedor V. Fomin, Serge Gaspers, +5 authors Yngve Villanger
- LATIN
- 2012

Three results on the interval number of a graph on n vertices are presented. (1) The interval number of almost every graph is between n/4lg n and n/4 (this also holds for almost every bipartite graph). (2) There exist Km,+ -free bipartite graphs with interval number at least c(m)n’-*I( , m+lj/lg n which can be improved to &$4+0(&) for m = 2 and (n/2):/lg n… (More)