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Mapping between 2-d meshes of the same size

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Abstract

Given two 2-D meshesM 1 andM 2 of sizess i×ti wheres i≤ti (i=1,2) ands 1×t 1=s 2×t 2, embeddingM 1 toM 2 with minimum dilation is studied. First, several lower bounds on the dilations of embedding in different cases are presented. Then, an embedding algorithm with dilation [s 1/s 2]+2 for the cases 1≤s 2 is proposed, which almost matches the lower bound [s 1/s 2]. For the cases 1<s 2, another embedding algorithm is given with dilation min {ζ(s 1,h′)°, ζ(s 2,s 1)}, where ζ(s 1,h′)=min{ζ(s 1,ϕs 2,s 1)†, ζ(t 1,ϕ(2,s 1)))}

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Authors and Affiliations

  1. Department of Computer Science, Huazhong University of Science and Technology, 430074, Wuhan

    Peng Guoqiang

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  1. Peng Guoqiang
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Peng Guoqiang is a Lecturer in Huazhong University of Science and Technology. His research interests include distributed operating systems and parallel processing.

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Peng, G. Mapping between 2-d meshes of the same size. J. of Comput. Sci. & Technol. 12, 470–475 (1997). https://doi.org/10.1007/BF02943178

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  • DOI: https://doi.org/10.1007/BF02943178

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