Fault-Tolerant Meshes with Constant Degree(<Special Section>Selected Papers from the 17th Workshop on Circuits and Systems in Karuizawa)
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概要
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This paper proves that for every positive integers n, k and any positive number ε, we can explicitly construct a DAG G with n+O(k^<l+ε>) vertices and a constant degree such that even after removing any k vertices from G, the remaining digraph still contains an n-vertex dipath. This paper also proves that for every positive integers n, k and any positive number ε, we can explicitly construct a graph H with n+O(k^<2+ε>) vertices and a constant degree such that even after removing any k vertices from H, the remaining graph still contains an n-vertex 2-dimensional square mesh.
- 社団法人電子情報通信学会の論文
- 2005-04-01
著者
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YAMADA Toshinori
Department of Physical Electronics, Tokyo Institute of Technology
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Yamada Toshinori
Division Of Mathematics Electronics And Informatics Graduate School Of Science And Engineering Saita
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Yamada Toshinori
Department Of Information And Computer Sciences Saitama University
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Yamada Toshinori
Department Of Applied Chemistry Institute Of Colloid And Interface Science Science University Of Tok
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