A Class of Cayley Graphs: Recursive Cubes of Ring Networks

CHENG  Dong-Qin

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A Class of Cayley Graphs: Recursive Cubes of Ring Networks

更新时间：2026-05-27

- A Class of Cayley Graphs: Recursive Cubes of Ring Networks
- Vol. 28, Issue 2, Pages: 81-84(2011)
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- Published：2011
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程冬琴. 类Cayley 图：环的递归立方体网络[J]. 广东工业大学学报, 2011, 28(2): 81-84.

CHENG Dong-Qin. A Class of Cayley Graphs: Recursive Cubes of Ring Networks[J]. 2011, 28(2): 81-84.
程冬琴. 类Cayley 图：环的递归立方体网络[J]. 广东工业大学学报, 2011, 28(2): 81-84. DOI：

CHENG Dong-Qin. A Class of Cayley Graphs: Recursive Cubes of Ring Networks[J]. 2011, 28(2): 81-84. DOI：

摘要

证明环的递归立方体网络（Recursive Cube of Rings network)（简称RCR网络)也是Cayley图，它有很多良好的拓扑性质.采用有限群导出Cayley图的方法，先定义了一个新的群，然后重新证明了RCR网络是一类Cayley 图，并更改了RCR中节点的表示方法.

Abstract

Recursive Cube of Rings(RCR) is proven to be the Cayley graph

known as a quite suitable interconnected network which possesses many good topological properties. The Cayley graph is obtained from the finite group. Firstly

a new group was defined. Then

RCR was proved to be the Cayley graph. Finally

necessary modifications to the way of marking the nodes in RCR were made accordingly.

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references

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徐俊明，徐克力.Cayley图的笛卡尔乘积[J].中国科学技术大学学报,2001,31(6):635-640.

Hu H,Gu N,Cao J.A note on recursive cube of rings network[J].IEEE Trans Parallel and Dist Syst,2005,16(10):1007-1008.

Choi D,Lee O,Chung I.A parallel routing a-lg-orithm on recursive cube of rings networks employing Hamiltonian circuit Latin square[J].Inf Sci,2008,178:1533-1541.

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