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J4 ›› 2012, Vol. 47 ›› Issue (9): 88-91.

• 数学 • 上一篇    下一篇

双环网的同构类

江小平   

  1. 成都信息工程学院数学学院, 四川 成都 610225
  • 收稿日期:2012-01-18 出版日期:2012-09-20 发布日期:2012-09-24
  • 作者简介:江小平 (1975- ),女,讲师,研究方向为组合数学与图论.Email: jxping@cuit.edu.cn
  • 基金资助:

    成都信息工程学院院选科研项目(CRF201118)

The isomorphism classes of double loop networks

JIANG Xiao-ping   

  1. School of Mathematics, Chengdu University of Information Technology, Chengdu 610225, Sichuan, China
  • Received:2012-01-18 Online:2012-09-20 Published:2012-09-24

摘要:

同构图具有相同的拓扑性质。针对双环网的结构特点,根据步长a,b与结点总数n的不同关系,给出相应的同构映射。得到双环网的几大连接类型,并讨论了其中两同构类的总数。

关键词: 双环网;同构图;互素;素因子分解

Abstract:

Isomorphism graph has the same topological property. According to the structural properties of loop networks and the relations of a, b and n, which a, b is the steps and n is the vertices. The isomorphism mapping is given and loop networks are partitioned into equivalence classes. The numbers of two isomorphism classes are discussed.

Key words: double loop network; isomorphism graph; relatively prime; prime factorizations

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