单向k-元n-立方体网络
发布时间:2018-12-18 04:35
【摘要】:单向k-元n-立方体是指具有单向边的k-元n-立方体互连网络拓扑。当网络包含的顶点数目较大时,比起传统的双向k-元n-立方体,单向k-元n-立方体对通信硬件复杂性的要求更低一些。提出了k-元n-立方体的一个定向,使得定向后的单向k-元n-立方体UQkn有一些良好的性质。证明了UQkn是正则的,极大弧连通的,具有迭代结构的且UQkn的直径是小的。此外,提出了一个简单的多项式时间路由算法。
[Abstract]:One-way k- element n- cube is a k-element n-cube interconnection network topology with one-way edge. When the number of vertices in the network is large, the requirement of communication hardware complexity is lower for unidirectional k-ary n-cubes than for traditional bidirectional k-ary n-cubes. In this paper, a direction of k-ary n-cube is proposed, which makes the unidirectional k-element n-cube UQkn have some good properties. It is proved that UQkn is regular, maximal arc connected, iterative structure and the diameter of UQkn is small. In addition, a simple polynomial time routing algorithm is proposed.
【作者单位】: 山西大学数学科学学院;
【基金】:国家自然科学基金(No.11401352,No.11401354)
【分类号】:TP393.02;O157.5
本文编号:2385349
[Abstract]:One-way k- element n- cube is a k-element n-cube interconnection network topology with one-way edge. When the number of vertices in the network is large, the requirement of communication hardware complexity is lower for unidirectional k-ary n-cubes than for traditional bidirectional k-ary n-cubes. In this paper, a direction of k-ary n-cube is proposed, which makes the unidirectional k-element n-cube UQkn have some good properties. It is proved that UQkn is regular, maximal arc connected, iterative structure and the diameter of UQkn is small. In addition, a simple polynomial time routing algorithm is proposed.
【作者单位】: 山西大学数学科学学院;
【基金】:国家自然科学基金(No.11401352,No.11401354)
【分类号】:TP393.02;O157.5
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