On the surface area of the augmented cubes

被引:0
作者
Eddie Cheng
Ke Qiu
Zhizhang Shen
机构
[1] Oakland University,Dept. of Mathematics and Statistics
[2] Brock University,Department of Computer Science
[3] Plymouth State University,Dept. of Computer Science and Technology
来源
The Journal of Supercomputing | 2012年 / 61卷
关键词
Hypercube; Augmented cube; Surface area; Average distance; Vertex forwarding index; Generating function;
D O I
暂无
中图分类号
学科分类号
摘要
The surface area of a communication network centered at a certain vertex, i.e., the number of vertices at the same distance from this given vertex within such a network, provides an important measurement of the broadcasting and other intercommunication capabilities of this network and can find several other applications in network studies. Following a generating function approach, we derive a closed-form expression of the surface area of the recently much discussed augmented cube network and its average distance.
引用
收藏
页码:856 / 868
页数:12
相关论文
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