Presentation 1998/1/30
Tight Bounds for Circuit-Switched Fixed Routing in Networks
Toshinori Yamada, Takashi Tono-oka, Shuichi Ueno,
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Abstract(in English) This paper considers the permutation routing problem on circuit-switched fixed routing networks. It is known that the size of optimal scheduling for any permutation on a 2-dimensional square mesh with N vertices is O (√). We prove that in any N-vertex network with maximum vertex degree Δ, the size of optimal scheduling for any permutation is Ω (√/Δ). For the N-vertex hypercube, we show a scheduling for any permutation with optimal size of O (√/log N). We also show that such a scheduling can be found on the N-vertex hypercube in poly-logarithmic parallel time. It is also shown that the size of optimal scheduling for any permutation on a d-dimensional N^<1/d>-sized mesh with N vertices is O (√) if d is even.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Hypercube / Mesh / Circuit-Switched Fixed Routing Network / Permutation Routing / Scheduling
Paper # CPSY97-111
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Conference Information
Committee CPSY
Conference Date 1998/1/30(1days)
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Registration To Computer Systems (CPSY)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Tight Bounds for Circuit-Switched Fixed Routing in Networks
Sub Title (in English)
Keyword(1) Hypercube
Keyword(2) Mesh
Keyword(3) Circuit-Switched Fixed Routing Network
Keyword(4) Permutation Routing
Keyword(5) Scheduling
1st Author's Name Toshinori Yamada
1st Author's Affiliation Department of Physical Electronics, Tokyo Institute of Technology()
2nd Author's Name Takashi Tono-oka
2nd Author's Affiliation Department of Physical Electronics, Tokyo Institute of Technology
3rd Author's Name Shuichi Ueno
3rd Author's Affiliation Department of Physical Electronics, Tokyo Institute of Technology
Date 1998/1/30
Paper # CPSY97-111
Volume (vol) vol.97
Number (no) 524
Page pp.pp.-
#Pages 8
Date of Issue