### Bounded-Degree Graphs have Arbitrarily Large Queue-Number

*David R. Wood*

#### Abstract

It is proved that there exist graphs of bounded degree with arbitrarily large queue-number. In particular, for all Δ ≥ 3 and for all sufficiently large n, there is a simple Δ-regular n-vertex graph with queue-number at least c √Δ n

^{1/2-1/Δ}for some absolute constant c.Full Text: PDF PostScript