Title
A linear time algorithm for sequential diagnosis in hypercubes
Abstract
This paper describes a new sequential diagnosis algorithm for hypercubes. The algorithm is based on the PMC model and it assumes the existence of a central observer for syndrome decoding. If we denote the total number of processors in a given hypercube by N , then the algorithm achieves Θ([formula]) degree of diagnosability using only O ( N ) tests over all iterations of diagnosis and repair. The aggregated syndrome decoding time is also shown to be O ( N ) for this algorithm. The number of iterations of diagnosis and repair needed by the algorithm is O (log N ).
Year
DOI
Venue
1995
10.1006/jpdc.1995.1046
J. Parallel Distrib. Comput.
Keywords
Field
DocType
sequential diagnosis,linear time algorithm
Discrete mathematics,Binary logarithm,Combinatorics,Computer science,Algorithm,Fault tolerance,Decoding methods,Freivalds' algorithm,Time complexity,Partition (number theory),Observer (quantum physics),Hypercube
Journal
Volume
Issue
ISSN
26
1
Journal of Parallel and Distributed Computing
Citations 
PageRank 
References 
17
0.76
14
Authors
2
Name
Order
Citations
PageRank
Sanjeev Khanna1170.76
W. Kent Fuchs21469279.02