Title
Lower bounds on communication complexity in distributed computer networks
Abstract
The main result of this paper is a general technique for determining lower bounds on the communication complexity of problems on various distributed computer networks. This general technique is derived by simulating the general network by a linear array and then using a lower bound on the communication complexity of the problem on the linear array. Applications of this technique yield optimal bounds on the communication complexity of merging, ranking, uniqueness, and triangle-detection problems on a ring of processors. Nontrivial near-optimal lower bounds on the communication complexity of distinctness, merging, and ranking on meshes and complete binary trees are also derived.
Year
DOI
Venue
1987
10.1145/31846.32978
J. ACM
Keywords
Field
DocType
lower bound,linear array,commuication complexity,communication complexity,communicaton complexity,conmunication complexity,distinctness problem,near optimal,p time,boolean function,Communication Complexity,Computer Networks,Lower Bounds
Boolean function,Uniqueness,Discrete mathematics,Combinatorics,Polygon mesh,Ranking,Computer science,Algorithm,Communication complexity,Distributed algorithm,Intelligent Network,Worst-case complexity
Journal
Volume
Issue
ISSN
34
4
0004-5411
Citations 
PageRank 
References 
25
2.46
17
Authors
1
Name
Order
Citations
PageRank
Prasoon Tiwari159296.81