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一种交叉立方体网络的并行路由算法 被引量:2

A Parallel Routing Algorithm for Crossed Cube Networks
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摘要 Efe提出的交叉立方体是超立方体的一种变型,其某些性质优于超立方体。在高性能的并行计算机系统中,信息通过若干条内结点互不交叉的路径并行传输,这些路径的长度将直接影响并行计算的性能。该文提出了一种时间复杂度为o(n2)的交叉立方体网络并行路由算法,可输出源点u到目的点v的3条并行路径P0,P1,P2,并且满足:(1)|P0|=u到v的距离;(2)|Pi|≤u到v的距离+3(i=1,2)。这说明该算法是通信高效的。 The crossed cube proposed by Ere is a variation of hypercube, but some properties of the former are superior to those of the latter. The messages are simultaneously transmitted on some internally node-disjoint paths in the high performance parallel computing system, thus the lengths of those paths directly affect the performance of parallel computing. This paper proposes a parallel routing algorithm with time complexity of o(n^2) for crossed cube networks, which can output three paths P0,P1,P2 between the source node u and the destination node v, such that: (1)|P0|=the distance between u and v; (2)|P1|〈the distance between u and v+3. Therefore, the algorithm works efficiently in communication.
出处 《计算机工程》 CAS CSCD 北大核心 2007年第3期12-14,共3页 Computer Engineering
基金 国家杰出青年科学基金资助项目(60425310) 教育部青年教师奖励计划项目(教人[2002]5号)
关键词 交叉立方体 超立方体 内结点不交叉路径 路径长度 路由算法 Crossed cube Hypercuhe Internally node-disjoint paths Path length Routing algorithm
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参考文献5

  • 1Efe K.A Variation on the Hypercube with Lower Diameter[J].IEEE Trans.on Computers,1991,40(11):312-316.
  • 2Efe K.The Crossed Cube Architecture for Parallel Computing[J].IEEE Trans.on Parallel and Distributed Systems,1992,3(5):513-524.
  • 3Kulasinghe P,Bettayeb S.Embedding Binary Trees into Crossed Cubes[J].IEEE Trans.on Computers,1995,44(7):923-929.
  • 4Kulasinghe P.Connectivity of the Crossed Cube[J].Information Processing Letters,1997,61(4):221-226.
  • 5Chang C P,Sung T Y.Edge Congestion and Topological Properties of Crossed Cubes[J].IEEE Trans.on Parallel and Distributed Systems,2000,11(1):64-80.

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