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学者姓名:鲍学文
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Abstract :
In this paper, the notion of crosstalk-free rearrangeability (CF-rearrangeability) of multistage interconnection networks (MINs) is formally defined. Using the concept of line digraphs from graph theory, we show that the problem of crosstalk-free routing on any bit permutation network (BPN) is always equivalent to the classical permutation routing problem on a BPN of smaller size and with fewer stages. We also show the CF-rearrangeability and minimality (in stage number) of three families of BPNs, including the dilated Benes network. Some necessary conditions for a BPN to be CF-rearrangeable are given, and a brief discussion of CF-rearrangeable networks with dilation in time or space is included.
Keyword :
bit permutation network bit permutation network crosstalk-free crosstalk-free multistage interconnection network multistage interconnection network rearrangeability rearrangeability
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GB/T 7714 | Bao, Xuewen , Li, Qiao . Crosstalk-free rearrangeable multistage interconnection networks [J]. | TAIWANESE JOURNAL OF MATHEMATICS , 2006 , 10 (5) : 1225-1243 . |
MLA | Bao, Xuewen 等. "Crosstalk-free rearrangeable multistage interconnection networks" . | TAIWANESE JOURNAL OF MATHEMATICS 10 . 5 (2006) : 1225-1243 . |
APA | Bao, Xuewen , Li, Qiao . Crosstalk-free rearrangeable multistage interconnection networks . | TAIWANESE JOURNAL OF MATHEMATICS , 2006 , 10 (5) , 1225-1243 . |
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