An Extremal Problem in the Hypercube and Optimization of Asynchronous Circuits
β 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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β¦ Synopsis
We prove that if m β₯ 2, then the minimum k β 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 β€ k β€ 2 log 2 mlog 2 log 2 m + 5.
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