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4. Prove that every cycle of length 2r in the hypercube Qn is contained in a subcube of dimension at most r. Can a cycle
4. Prove that every cycle of length 2r in the hypercube Qn is contained in a subcube of dimension at most r. Can a cycle of length 8 = 2.4 be contained in a subcube of dimension 3? Can a cycle of length 6 = 2.3 be contained in a subcube of dimension 2
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