Next Article in Journal / Special Issue
Editorial: Special Issue on Matching under Preferences
Previous Article in Journal
Correction: Pareto Optimization or Cascaded Weighted Sum: A Comparison of Concepts. Algorithms 2014, 7, 166–185
Previous Article in Special Issue
Choice Function-Based Two-Sided Markets: Stability, Lattice Property, Path Independence and Algorithms
Open AccessArticle

Faster and Simpler Approximation of Stable Matchings

Institute of Computer Science, University of Wrocław, Joliot-Curie 15, 50–383 Wrocław, Poland
Algorithms 2014, 7(2), 189-202; https://doi.org/10.3390/a7020189
Received: 5 September 2013 / Revised: 22 March 2014 / Accepted: 27 March 2014 / Published: 4 April 2014
(This article belongs to the Special Issue Special Issue on Matching under Preferences)
We give a 3 2 -approximation algorithm for finding stable matchings that runs in O(m) time. The previous most well-known algorithm, by McDermid, has the same approximation ratio but runs in O(n3/2m) time, where n denotes the number of people andm is the total length of the preference lists in a given instance. In addition, the algorithm and the analysis are much simpler. We also give the extension of the algorithm for computing stable many-to-many matchings. View Full-Text
Keywords: stable matching; stable marriage; approximation algorithm stable matching; stable marriage; approximation algorithm
Show Figures

Figure 1

MDPI and ACS Style

Paluch, K. Faster and Simpler Approximation of Stable Matchings. Algorithms 2014, 7, 189-202.

Show more citation formats Show less citations formats

Article Access Map

1
Only visits after 24 November 2015 are recorded.
Back to TopTop