By Topic

Optimal realization of hypercubes by three-dimensional space-invariant optical interconnections

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Tago, S. ; Dept. of Phys. Electron., Tokyo Inst. of Technol., Japan ; Ueno, S.

It is known that an N-vertex hypercube QN can be realized by three-dimensional space-invariant optical interconnections using an optical interconnect module (OIM) with fan-out of size 2 log N-1 and two array planes of area O(N log4 N). We show that (8 log N-12)/5 and N(log N+1)/2 are lower bounds for the size of fan-out of OIM and the area of the array plane to realize QN, respectively. We also show a realization of QN using an OIM with fan-out of size 2 log N and two array planes of area N log N+N/2. Our realization is optimal to within a small constant factor

Published in:

Parallel Architectures, Algorithms, and Networks, 1997. (I-SPAN '97) Proceedings., Third International Symposium on

Date of Conference:

18-20 Dec 1997