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arXiv · 1501.05020

Layouts of Expander Graphs

Vida Dujmović·Anastasios Sidiropoulos·David R. Wood
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Abstract

Bourgain and Yehudayoff recently constructed $O(1)$-monotone bipartite expanders. By combining this result with a generalisation of the unraveling method of Kannan, we construct 3-monotone bipartite expanders, which is best possible. We then show that the same graphs admit 3-page book embeddings, 2-queue layouts, 4-track layouts, and have simple thickness 2. All these results are best possible.

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Vida Dujmović, Anastasios Sidiropoulos, David R. Wood. 2016-02-08. Layouts of Expander Graphs. https://arxiv.org/abs/1501.05020

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