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MPI-I-2004-1-002

A simpler linear time 2/3 - epsilon approximation for maximum weight matching

Sanders, Peter and Pettie, Seth

MPI-I-2004-1-002. January 2004, 10 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We present two $\twothirds - \epsilon$ approximation algorithms for the
maximum weight matching problem that run in time
$O(m\log\frac{1}{\epsilon})$. We give a simple and practical
randomized algorithm and a somewhat more complicated deterministic
algorithm. Both algorithms are exponentially faster in
terms of $\epsilon$ than a recent algorithm by Drake and Hougardy.
We also show that our algorithms can be generalized to find a
$1-\epsilon$ approximatation to the maximum weight matching, for any
$\epsilon>0$.
Acknowledgement:
References to related material:

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Hide details for BibTeXBibTeX
@TECHREPORT{SandersPettie2004,
  AUTHOR = {Sanders, Peter and Pettie, Seth},
  TITLE = {A simpler linear time 2/3 - epsilon approximation for maximum weight matching},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2004-1-002},
  MONTH = {January},
  YEAR = {2004},
  ISSN = {0946-011X},
}