Minimum congestion embedding of complete binary trees into tori

被引:0
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作者
Matsubayashi, Akira [1 ,2 ]
Takasu, Ryo [1 ]
机构
[1] Faculty of Engineering, Utsunomiya University
[2] Faculty of Engineering, Kanazawa Universityy
关键词
Embedded systems - Parallel algorithms - Trees (mathematics);
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摘要
We consider the problem of embedding complete binary trees into 2-dimensional tori with minimum (edge) congestion. The embedding proposed here achieves the minimum congestion and an almost minimum size of a torus (up to the constant term of 1). In particular, the embedding is optimal for the problem of embedding a 2n-1-vertex complete binary tree with an even integer n into a square torus with unit congestion.
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页码:1804 / 1808
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