SEPARATING THE POWER OF EREW AND CREW PRAMS WITH SMALL COMMUNICATION WIDTH

Citation
P. Beame et al., SEPARATING THE POWER OF EREW AND CREW PRAMS WITH SMALL COMMUNICATION WIDTH, Information and computation, 138(1), 1997, pp. 89-99
Citations number
13
Categorie Soggetti
Information Science & Library Science",Mathematics,"Computer Science Information Systems
Journal title
ISSN journal
08905401
Volume
138
Issue
1
Year of publication
1997
Pages
89 - 99
Database
ISI
SICI code
0890-5401(1997)138:1<89:STPOEA>2.0.ZU;2-Z
Abstract
We prove that evaluating a Boolean decision tree of height h requires Omega(h/(m + logh)) time on any EREW PRAM with communication width m and any number of processors. Since this function can be easily comput ed in time O(root h) on a CREW PRAM with communication width 1 using 2 (o(h)) processors, this gives a separation between the two models when ever the EREW PRAM has communication width m is an element of o(root h ). (C) 1997 Academic Press.