Chapter 10. Matchings

  1. Alexander H. Hartmann1 and
  2. Heiko Rieger2

Published Online: 30 MAY 2003

DOI: 10.1002/3527600876.ch10

Optimization Algorithms in Physics

Optimization Algorithms in Physics

How to Cite

Hartmann, A. H. and Rieger, H. (2001) Matchings, in Optimization Algorithms in Physics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527600876.ch10

Author Information

  1. 1

    Institute of Theoretical Physics, University of Goettingen, Germany

  2. 2

    Institute of Theoretical Physics, Saarland University, Germany

Publication History

  1. Published Online: 30 MAY 2003
  2. Published Print: 29 NOV 2001

ISBN Information

Print ISBN: 9783527403073

Online ISBN: 9783527600878

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Keywords:

  • matchings;
  • spin glasses;
  • augmenting paths;
  • matching algorithms;
  • bipartite matching;
  • cardinality matching;
  • graphs;
  • 2d-calculations

Summary

This chapter contains sections titled:

  • Matching and Spin Glasses

  • Definition of the General Matching Problem

  • Augmenting Paths

  • Matching Algorithms

    • Maximum-cardinality Matching on Bipartite Graphs

    • Minimum-weight Perfect Bipartite Matching

    • Cardinality Matching on General Graphs

    • Minimum-weight Perfect Matching on General Graphs

  • Ground-state Calculations in 2d