【作者】 陈宇； 陈宝兴；

【Author】 Chen Yu Dept.of Mathematics,Zhangzhou Teacher’ s College,Zhangzhou,Fujian,363000 Chen Baoxing Dept.of Computer Science & Engineering,Zhangzhou Teacher’s College,Zhangzhou,Fujian,363000

【机构】 漳州师范学院数学与信息科学系； 漳州师范学院计算机科学与工程系；

【摘要】 在计算机局城网络与超计算机结构的设计中,有向双环网络起着重要的作用。而阿贝尔群上2 度有向 Cayley 网络是有向双环网络的自然推广。本文证明了:任给非负整数 k,可以构造一个奇异 k 紧优的阿贝尔群上2度有向 Cayley 网络无限族。作为具体实例,我们用此方法构造了1族奇异1紧优的阿贝尔群上2度有向 Cayley 网络无限族。更多还原

【Abstract】 A directed double-loop network is very useful in designs of local area networks and super-computer architecture.2-de- gree Cayley digraphs of abelian groups are,generalization of directed double-loop networks.For any given integer k(k≥0),it is proved that a sigular k-tight optimal infinite family of 2-degree Cayley digraphs of abelian groups can be onstructed.By using the method given in the proof of the theorem,we construct one l-tight optimal infinite family of 2-degree Cayley digraphs of abelian groups.更多还原