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Doing the twist: diagonal meshes are isomorphic to twisted toroidal Meshes

Pearlmutter, Barak A. (1996) Doing the twist: diagonal meshes are isomorphic to twisted toroidal Meshes. IEEE Transactions on Computers, 45 (6). pp. 766-767. ISSN 0018-9340

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Abstract

We show that a k x n diagonal mesh is isomorphic to a n+k/2 x n+k/2 - nk/2 twisted toroidal mesh, i.e., a network similar to a standard n+k/2 x n-k/2 toroidal mesh, but with opposite handed twists of n-k/2 in the two directions, which results in a loss of (n-k/2)2 nodes.

Item Type: Article
Additional Information: Copyright Notice "©1996 IEEE. Reprinted from IEEE Transactions on Computers. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=506434&isnumber=11036
Keywords: Multiprocessor interconnection networks; Diagonal meshes; Grid networks; Interconnection networks; Mesh-connected topologies; Twisted toroidal meshes.
Subjects: Science & Engineering > Computer Science
Item ID: 1419
Identification Number: 10.1109/12.506434
Depositing User: Dr. Barak Pearlmutter
Date Deposited: 02 Jun 2009 14:40
Journal or Publication Title: IEEE Transactions on Computers
Publisher: IEEE
Refereed: Yes
URI:

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