An efficient parallel graph edge matching algorithm and its applications

A fast and efficient parallel algorithm for finding a maximal edge matching in an undirected graphG(V,E) is proposed. It runs inO(logn) time with (M/logn+n) processors on an EREW PRAM for a class of graph set II, wheren=|V|, m=|E| and II includes at least (i) planar graphs; (ii) graphs of bounded ge...

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Bibliographic Details
Published in:Journal of computer science and technology Vol. 14; no. 2; pp. 153 - 158
Main Authors: Ma, Jun, Ma, Shaohan
Format: Journal Article
Language:English
Published: Beijing Springer Nature B.V 01.03.1999
Department of Computer Science, Shandong University, Jinan 250100, P.R. China
Subjects:
Algorithms
Graph matching
Graphs
Matching
Processors
Studies
maximal edge matching
parallel graph algorithm
ISSN:1000-9000, 1860-4749
Online Access:Get full text
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Summary:A fast and efficient parallel algorithm for finding a maximal edge matching in an undirected graphG(V,E) is proposed. It runs inO(logn) time with (M/logn+n) processors on an EREW PRAM for a class of graph set II, wheren=|V|, m=|E| and II includes at least (i) planar graphs; (ii) graphs of bounded genus; and (iii) graphs of bounded maximum degree and so on. Our algorithm improves the previously known best algorithms by a factor of logn in the time complexity with linear number of processors on EREW PRAMs when the input is limited to II.
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ISSN:1000-9000
1860-4749
DOI:10.1007/BF02946522