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An Optimal Algorithm for Permutation Admissibility to Multistage Interconnection Networks
April 1995 (vol. 44 no. 4)
pp. 604-608
ASCII Text
x 
 
Mao Xu, Xiaojun Shen, Xiangzu Wang, "An Optimal Algorithm for Permutation Admissibility to Multistage Interconnection Networks," IEEE Transactions on Computers, vol. 44, no. 4, pp. 604-608, April, 1995.
 
 
BibTex
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@article{ 10.1109/12.376176,
author = {Mao Xu and Xiaojun Shen and Xiangzu Wang},
title = {An Optimal Algorithm for Permutation Admissibility to Multistage Interconnection Networks},
journal ={IEEE Transactions on Computers},
volume = {44},
number = {4},
issn = {0018-9340},
year = {1995},
pages = {604-608},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.376176},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - An Optimal Algorithm for Permutation Admissibility to Multistage Interconnection Networks
IS - 4
SN - 0018-9340
SP604
EP608
EPD - 604-608
A1 - Mao Xu,
A1 - Xiaojun Shen,
A1 - Xiangzu Wang,
PY - 1995
KW - Adversary strategy
KW - multistage interconnection network
KW - permutation admissibility
KW - transition matrix
KW - window method.
VL - 44
JA - IEEE Transactions on Computers
ER -
 

Abstract—This paper introduces a simple O(NlogN) sequential algorithm that determines the admissibility of an arbitrary permutation to an N×N Multistage Cube-Type Network (MCTN) implemented by 2 × 2 switching elements (SEs) in contrast to previous O(Nlog2N) algorithms. It is proven that the new algorithm is optimal in the sense that any algorithm, based on bit-operations, has to examine at least (N/4)logN different bits among the total NlogN bits in the binary representations of the destinations numbered from 0 through N−1.

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Index Terms:
Adversary strategy, multistage interconnection network, permutation admissibility, transition matrix, window method.
Citation:
Mao Xu, Xiaojun Shen, Xiangzu Wang, "An Optimal Algorithm for Permutation Admissibility to Multistage Interconnection Networks," IEEE Transactions on Computers, vol. 44, no. 4, pp. 604-608, April 1995, doi:10.1109/12.376176
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