Study on the rearrangeability of 3n-1 stages shuffle-exchange network

Rearrangeability is an essential issue in study of SE(shuffle-exchange) network and its application.Currently,there are no practical methods to realize rearrangeability of SE networks when n>4.Based on the fact,a policy to realize the rearrangeability was proposed in 3n-1 stages Omega network.In...

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Main Authors: GE Fang-bin1, ZHANG Tao1, SONG Jin-yu1, ZHAO Min1, CHEN Wei-hua2
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2011-01-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/74412840/
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author GE Fang-bin1
ZHANG Tao1
SONG Jin-yu1
ZHAO Min1
CHEN Wei-hua2
author_facet GE Fang-bin1
ZHANG Tao1
SONG Jin-yu1
ZHAO Min1
CHEN Wei-hua2
author_sort GE Fang-bin1
collection DOAJ
description Rearrangeability is an essential issue in study of SE(shuffle-exchange) network and its application.Currently,there are no practical methods to realize rearrangeability of SE networks when n>4.Based on the fact,a policy to realize the rearrangeability was proposed in 3n-1 stages Omega network.In the policy,the problem of constructing no conflict routing was translated into how to rearrange routing inputs and decompose routing sequence.A method to rearrange routing inputs by adjusting conflict nodes and expanding routings without conflict was offered.The feasibility of ex-panding routings without conflict was proved,and an algorithm of expanding routings was provided.The rearrangeability of Omega network was first realized when n=5.If Ge conjecture on decomposing routing sequence is constructively proved,how to realize the rearrangeability of the 3n-1 Omega network would be perfectly solved by the policy.
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institution Kabale University
issn 1000-436X
language zho
publishDate 2011-01-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-bd54fc115ea941d3b50fe838fbc3f4ea2025-01-14T08:15:19ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2011-01-0132101874412840Study on the rearrangeability of 3n-1 stages shuffle-exchange networkGE Fang-bin1ZHANG Tao1SONG Jin-yu1ZHAO Min1CHEN Wei-hua2Rearrangeability is an essential issue in study of SE(shuffle-exchange) network and its application.Currently,there are no practical methods to realize rearrangeability of SE networks when n>4.Based on the fact,a policy to realize the rearrangeability was proposed in 3n-1 stages Omega network.In the policy,the problem of constructing no conflict routing was translated into how to rearrange routing inputs and decompose routing sequence.A method to rearrange routing inputs by adjusting conflict nodes and expanding routings without conflict was offered.The feasibility of ex-panding routings without conflict was proved,and an algorithm of expanding routings was provided.The rearrangeability of Omega network was first realized when n=5.If Ge conjecture on decomposing routing sequence is constructively proved,how to realize the rearrangeability of the 3n-1 Omega network would be perfectly solved by the policy.http://www.joconline.com.cn/zh/article/74412840/shuffle-exchange networkOmega networkrearrangeabilityrearranging inputsexpanding routing without conflict
spellingShingle GE Fang-bin1
ZHANG Tao1
SONG Jin-yu1
ZHAO Min1
CHEN Wei-hua2
Study on the rearrangeability of 3n-1 stages shuffle-exchange network
Tongxin xuebao
shuffle-exchange network
Omega network
rearrangeability
rearranging inputs
expanding routing without conflict
title Study on the rearrangeability of 3n-1 stages shuffle-exchange network
title_full Study on the rearrangeability of 3n-1 stages shuffle-exchange network
title_fullStr Study on the rearrangeability of 3n-1 stages shuffle-exchange network
title_full_unstemmed Study on the rearrangeability of 3n-1 stages shuffle-exchange network
title_short Study on the rearrangeability of 3n-1 stages shuffle-exchange network
title_sort study on the rearrangeability of 3n 1 stages shuffle exchange network
topic shuffle-exchange network
Omega network
rearrangeability
rearranging inputs
expanding routing without conflict
url http://www.joconline.com.cn/zh/article/74412840/
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