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An Extremal Problem in the Hypercube and Optimization of Asynchronous Circuits

✍ Scribed by Carlos Gustavo T. de A. Moreira; Pablo Emanuel


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
66 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis


We prove that if m β‰₯ 2, then the minimum k ∈ 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 ≀ k ≀ 2 log 2 mlog 2 log 2 m + 5.


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