Presentation 1998/4/24
Oblivious Routing Algorithms on Meshes
Eiji MIYANO, Kazuo IWAMA,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We give two, new upper bounds for oblivious permutation routing on the mesh network. One is an O(N^<0.75>) algorithm for the two-dimensional mesh with constant queue-size. This is the first algorithm which improves substantially the trivial O(N) bound. The other is an 1.16√N+o(√N)algorithm on the three-dimensional mesh with unlimited queue-size. This algorithm allows at most three bends in the path of each packet. If the number of bends is restricted to minimal, i. e., at most two, then it is known that the bound jumps to Ω(N^<2/3>).
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Keyword(in English) oblivious routing / mesh / upper bound / queue-size / the number of bends
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Committee COMP
Conference Date 1998/4/24(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Oblivious Routing Algorithms on Meshes
Sub Title (in English)
Keyword(1) oblivious routing
Keyword(2) mesh
Keyword(3) upper bound
Keyword(4) queue-size
Keyword(5) the number of bends
1st Author's Name Eiji MIYANO
1st Author's Affiliation Kyushu Institute of Design()
2nd Author's Name Kazuo IWAMA
2nd Author's Affiliation Department of Information Science Kyoto University
Date 1998/4/24
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Volume (vol) vol.98
Number (no) 36
Page pp.pp.-
#Pages 8
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