This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Doing the Twist: Diagonal Meshes Are Isomorphic to Twisted Toroidal Meshes
June 1996 (vol. 45 no. 6)
pp. 766-767
ASCII Text
x 
 
Barak A. Pearlmutter, "Doing the Twist: Diagonal Meshes Are Isomorphic to Twisted Toroidal Meshes," IEEE Transactions on Computers, vol. 45, no. 6, pp. 766-767, June, 1996.
 
 
BibTex
x
 
@article{ 10.1109/12.506434,
author = {Barak A. Pearlmutter},
title = {Doing the Twist: Diagonal Meshes Are Isomorphic to Twisted Toroidal Meshes},
journal ={IEEE Transactions on Computers},
volume = {45},
number = {6},
issn = {0018-9340},
year = {1996},
pages = {766-767},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.506434},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - Doing the Twist: Diagonal Meshes Are Isomorphic to Twisted Toroidal Meshes
IS - 6
SN - 0018-9340
SP766
EP767
EPD - 766-767
A1 - Barak A. Pearlmutter,
PY - 1996
KW - Interconnection networks
KW - grid networks
KW - mesh-connected topologies
KW - diagonal mesh
KW - toroidal mesh.
VL - 45
JA - IEEE Transactions on Computers
ER -
 

Abstract—We show that a k×n diagonal mesh is isomorphic to a ${\textstyle{{n+k} \over 2}}\times {\textstyle{{n+k} \over 2}}-{\textstyle{{n-k} \over 2}}\times {\textstyle{{n-k} \over 2}}$ twisted toroidal mesh, i.e., a network similar to a standard ${\textstyle{{n+k} \over 2}}\times {\textstyle{{n+k} \over 2}}$ toroidal mesh, but with opposite handed twists of ${\textstyle{{n-k} \over 2}}$ in the two directions, which results in a loss of $\left( {{\textstyle{{n-k} \over 2}}} \right)^2$ nodes.

[1] K.W. Tang and S.A. Padubidri, “Diagonal and Toroidal Mesh Networks,” IEEE Trans. Computers, vol. 43, no. 7, pp. 815-826, July 1994.
[2] A. Davis, J. Anderson, W.S. Coates, R.W. Hon, I.N. Robinson, S.V. Robison, and K.S. Stevens, "The Architecture of FAIM-1," Computer, vol. 20, no. 1, pp. 55-65, Jan. 1987.

Index Terms:
Interconnection networks, grid networks, mesh-connected topologies, diagonal mesh, toroidal mesh.
Citation:
Barak A. Pearlmutter, "Doing the Twist: Diagonal Meshes Are Isomorphic to Twisted Toroidal Meshes," IEEE Transactions on Computers, vol. 45, no. 6, pp. 766-767, June 1996, doi:10.1109/12.506434
Usage of this product signifies your acceptance of the Terms of Use.