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arXiv · 2401.16191

From Tripods to Bipods: Reducing the Queue Number of Planar Graphs Costs Just One Leg

Henry Förster
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Abstract

As an alternative to previously existing planar graph product structure theorems, we prove that every planar graph $G$ is a subgraph of the strong product of $K_2$, a path and a planar subgraph of a $4$-tree. As an application, we show that the queue number of planar graphs is at most $38$ whereas the queue number of planar bipartite graphs is at most $25$.

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Henry Förster. 2024-01-29. From Tripods to Bipods: Reducing the Queue Number of Planar Graphs Costs Just One Leg. https://arxiv.org/abs/2401.16191

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