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Optimal fault-tolerant communication algorithms on product networks using spanning trees

机译:使用生成树的产品网络上的最佳容错通信算法

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Over the last years cartesian product graphs have started to receive increasing attention as general class of networks for multiprocessor systems. One reason is that many efficient and popular networks such as the meshes, tori, hypercubes, hyper de Bruijn, product shuffle, and the newly proposed folded Petersen networks belong to this class of networks. Secondly, with the help of cartesian product graphs, a unique method for the design and analysis of a class of networks as well as techniques for embedding and communication algorithms can be provided. In this paper, first multiple arc-disjoint spanning trees are constructed on product networks with bidirectional links. These trees are utilized to design fault-tolerant algorithms for several important communication primitives assuming all-port communication. The problems under consideration include broadcasting, gossiping, scattering, and total exchange.
机译:在过去几年,笛卡尔产品图已开始接受越来越多地关注多处理器系统的一般网络。一个原因是许多高效和流行的网络,如网格,Tori,超机,超级Bruijn,产品随机播放和新提出的折叠Petersen网络属于这类网络。其次,在笛卡尔产品图的帮助下,可以提供对一类网络的设计和分析的独特方法以及用于嵌入和通信算法的技术。在本文中,在具有双向链路的产品网络上构建了第一多个弧形跨越树。这些树木用于设计具有全端口通信的几个重要通信基元的容错算法。所考虑的问题包括广播,闲聊,散射和总交换。

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