Abstract
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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