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arxiv: 1504.04821 · v1 · submitted 2015-04-19 · 🧮 math.CO

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Strongly sublinear separators and polynomial expansion

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keywords expansionpolynomialseparatorsstronglysublineargraphsresultauthor
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A result of Plotkin, Rao, and Smith implies that graphs with polynomial expansion have strongly sublinear separators. We prove a converse of this result showing that hereditary classes of graphs with strongly sublinear separators have polynomial expansion. This confirms a conjecture of the first author.

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