An Extremal Problem in the Hypercube and
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Carlos Gustavo T. de A. Moreira; Pablo Emanuel
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Article
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2000
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Elsevier Science
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English
โ 66 KB
We prove that if m โฅ 2, then the minimum k โ N such that the k-cube {0, 1} k can be decomposed as the disjoint union of m connected adjacent subsets satisfies 2 log 2 mlog 2 log 2 m -1 โค k โค 2 log 2 mlog 2 log 2 m + 5.