CONSTRUCTING A PERFECT MATCHING IS IN RANDOM NC.

Richard M. Karp*, Eli Upfal, Avi Wigderson

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

55 Scopus citations

Abstract

It is shown that the problem of constructing a perfect matching in a graph is in the complexity class Random NC; i. e. , the problem is solvable in polylog time by a randomized parallel algorithm using a polynomial-bounded number of processors. It is also shown that several related problems lie in Random NC. These include: constructing a perfect matching of maximum weight in a graph whose edge weights are given in unary notation; constructing a maximum-cardinality matching; constructing a matching covering a set of vertices of maximum weight in a graph whose vertex weights are given in binary; and constructing a maximum s - t flow in a directed graph whose edge weights are given in unary.

Original languageEnglish
Title of host publicationConference Proceedings of the Annual ACM Symposium on Theory of Computing
PublisherACM (Order n 508850)
Pages22-32
Number of pages11
ISBN (Print)0897911512, 9780897911511
DOIs
StatePublished - 1985
Externally publishedYes

Publication series

NameConference Proceedings of the Annual ACM Symposium on Theory of Computing
ISSN (Print)0734-9025

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