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Bounded-Degree Graphs have Arbitrarily Large Queue-Number

David R. Wood
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Abstract

It is proved that there exist graphs of bounded degree with arbitrarily large queue-number. In particular, for all $Δ\geq3$ and for all sufficiently large $n$, there is a simple $Δ$-regular $n$-vertex graph with queue-number at least $c\sqrtΔn^{1/2-1/Δ}$ for some absolute constant $c$.

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David R. Wood. 2006-02-20. Bounded-Degree Graphs have Arbitrarily Large Queue-Number. https://arxiv.org/abs/math/0601293

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