Title :
Doing the twist: diagonal meshes are isomorphic to twisted toroidal meshes
Author :
Pearlmutter, Barak A.
Author_Institution :
Dept. of Cognitive Sci., California Univ., San Diego, La Jolla, CA, USA
fDate :
6/1/1996 12:00:00 AM
Abstract :
We show that a k×n diagonal mesh is isomorphic to a (n+k)/2×(n+k)/2-(n-k)/2×(n-k)/2 twisted toroidal mesh, i.e., a network similar to a standard (n+k)/2×(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
Keywords :
multiprocessor interconnection networks; diagonal meshes; grid networks; interconnection networks; mesh-connected topologies; twisted toroidal meshes; Character generation; Joining IEEE; Network topology; Postal services; Power distribution; Testing;
Journal_Title :
Computers, IEEE Transactions on
