计算机科学 ›› 2013, Vol. 40 ›› Issue (1): 77-80.

• 网络与通信 • 上一篇    下一篇

交换超立方网络的嵌入问题研究

梁家荣,豆秋丽,郭 晨   

  1. (广西大学计算机与电子信息学院 南宁530004);(井冈山大学信息科学与传媒学院 吉安343009)
  • 出版日期:2018-11-16 发布日期:2018-11-16

Study on Embedding Problems of Exchanged Hypercube Networks

  • Online:2018-11-16 Published:2018-11-16

摘要: 交换超立方网络作为超立方网络的一个变种,具有良好的递归性和理想的网络参数,本文根据交换超立方网络的相关性质研究了E-2DMesh网络和超立方网络的嵌入问题,并得出如下结论:(1)当max(s,t)<7时,不存在dilation=1的EM(2m,2n)到EH(s,t)的嵌入映射(m+n<=s+t+1)。(2)EM(2s,2t)可以expansion=2,dilation=4,load=1嵌入EH(s,t)。(3)当min(s,t)>1时,不存在dilation=1的Qn到EH(s,t)的嵌入映射(n=s+t)。(4)Qn可以expansion=2,dilation=3,congestion=1,load=1嵌入EH(s,t)(n=s+t)。进一步说明了交换超立方网络具有良好的扩容性。

关键词: 交换超立方网络,E-Mesh网络,超立方网络,嵌入

Abstract: As a new variant of hypercube, the exchanged hypercube has nice recursiveness and preferable network parameters. Based on the relevant properties of exchanged hypercube, this paper studies the problems of embedding E-2DMesh networks and hypercube networks into exchanged hypercube. The following conclusions are obtained: (1) for max(s,t)<7, there is no mapping embedding for EM(2n,2m) into EH(s,t) (m+n<=s+t+1) with dilation=1. (2) EM(2s,2t) can be embedded into EH(s,t) with expansion=2, dilation=4, load=1. (3) for min(s,t)>1, there is no mapping embedding for Qn into EH(s,t) (n=s+t) with dilation=1. (4) Qn can be embedded into EH(s,t) with expansion=2, dilation=4, load=1(n=s+t). The results show that exchanged hypercube has nice versatility.

Key words: Exchanged Hypercube Networks,E-2DMesh Networks,Hypercube Networks,Embedding

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