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Jiang, Zilin; Yehudayoff, Amir (, The Electronic Journal of Combinatorics)We prove a vertex isoperimetric inequality for the $$n$$-dimensional Hamming ball $$\mathcal{B}_n(R)$$ of radius $$R$$. The isoperimetric inequality is sharp up to a constant factor for sets that are comparable to $$\mathcal{B}_n(R)$$ in size. A key step in the proof is a local expansion phenomenon in hypercubes.more » « less
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Aharoni, Ron; Briggs, Joseph; Holzman, Ron; Jiang, Zilin (, SIAM Journal on Discrete Mathematics)
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