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Strongly sublinear separators and polynomial expansion
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math.CO
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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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