This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
25th Annual Symposium on Foundations of Computer Science (FOCS 1984)
Singer Island, FL
October 24-October 26
ISBN: 0-8186-0591-X
C.H. Papadirnitriou, Stanford University
We show a nontrivial tradeoff between the communication c and time t required to compute a collection of values whose dependencies form a grid, i.e., value (i,j) depends on the values (i-1,j) and (i,j-1). No matter how we share the responsibility for computing the nodes of the n x n grid among processors, the law ct = /spl Omega/(n/sup 3/) must hold. Further, there must be a single path through the grid along which there are d communication steps, where dt = /spl Omega/(n/sup 2/). Depending on the machine organization, either law may be the more significant.
Citation:
C.H. Papadirnitriou, J.D. Ullman, "A Communication-Time Tradeoff," focs, pp.84-88, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984
Usage of this product signifies your acceptance of the Terms of Use.