在小型网络上模拟大型网络

Q4 Mathematics
H.L. Bodlaender , J. van Leeuwen
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引用次数: 0

摘要

并行算法通常设计为在N个处理器的网络上执行,N取决于要解决的问题的大小。在实践中,会有不同的问题大小,但网络大小是固定的。在Fishburn和Finkel (IEEE译)。computer . 31(1982), 288-295),提出了网络仿真的概念,以在较小的网络上获得大网络的结构保持仿真。我们详细分析了一些重要网络的可能模拟,即:洗牌交换网络,立方体网络,环网络和二维网格。我们还研究了交叉仿真的可能性,并描述了在给定网络上使用某类仿真函数可以完全仿真的网络。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Simulation of large networks on smaller networks

Parallel algorithms are normally designed for execution on networks of N processors, with N depending on the size of the problem to be solved. In practice there will be a varying problem size but a fixed network size. In Fishburn and Finkel (IEEE Trans. Comput. 31 (1982), 288–295), the notion of network emulation was proposed, to obtain a structure preserving simulation of large networks on smaller networks. We present a detailed analysis of the possible emulations for some important classes of networks, namely: the shuffle-exchange network, the cube network, the ring network, and the 2-dimensional grid. We also study the possibility of cross-emulations, and characterize the networks that can be emulated at all on a given network using some class of emulation functions.

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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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