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Analysis of a Simple Greedy Matching Algorithm on Random Cubic Graphs

Published online by Cambridge University Press:  12 September 2008

Alan Frieze ,
A. J. Radcliffe  and
Stephen Suen
Alan Frieze
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh PA15213, U.S.A.
A. J. Radcliffe
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh PA15213, U.S.A.
Stephen Suen
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh PA15213, U.S.A.
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Abstract

We consider the performance of a simple greedy matching algorithm MINGREEDY when applied to random cubic graphs. We show that if λn is the expected number of vertices not matched by MINGREEDY, there are positive constants c1 and c2 such that C1n1/5 ≤ λn ≤ C2n1/5 log n.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 4 , Issue 1 , March 1995 , pp. 47 - 66
Copyright
Copyright © Cambridge University Press 1995

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