Faster scaling algorithms for general graph matching problems
Journal of the ACM (JACM)
LEDA: a platform for combinatorial and geometric computing
Communications of the ACM
Greeding matching algorithms, an experimental study
Journal of Experimental Algorithmics (JEA)
Approximating discrete collections via local improvements
Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms
Data structures for weighted matching and nearest common ancestors with linking
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Quality matching and local improvement for multilevel graph-partitioning
Parallel Computing - Special issue on graph partioning and parallel computing
Greedy local improvement and weighted set packing approximation
Journal of Algorithms
A simple approximation algorithm for the weighted matching problem
Information Processing Letters
Computing Minimum-Weight Perfect Matchings
INFORMS Journal on Computing
An O(v|v| c |E|) algoithm for finding maximum matching in general graphs
SFCS '80 Proceedings of the 21st Annual Symposium on Foundations of Computer Science
Linear time 1/2 -approximation algorithm for maximum weighted matching in general graphs
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
A simpler linear time 2/3 - ε approximation for maximum weight matching
Information Processing Letters
A linear-time approximation algorithm for weighted matchings in graphs
ACM Transactions on Algorithms (TALG)
ACM SIGCOMM Computer Communication Review
Enhanced Approximation Algorithms for Maximum Weight Matchings of Graphs
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Maximum weighted matching using the partitioned global address space model
SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
Engineering algorithms for approximate weighted matching
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
A simple parallel approximation algorithm for maximum weight matching
Proceedings of the Third Conference on Partitioned Global Address Space Programing Models
Near approximation of maximum weight matching through efficient weight reduction
TAMC'11 Proceedings of the 8th annual conference on Theory and applications of models of computation
A survey of approximation results for local search algorithms
Efficient Approximation and Online Algorithms
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Recently two different linear time approximation algorithms for the weighted matching problem in graphs have been suggested [5][17]. Both these algorithms have a performance ratio of 1/2. In this paper we present a set of local improvement operations and prove that it guarantees a performance ratio of 2/3. We showt hat a maximal set of these local improvements can be found in linear time. To see howthe se local improvements behave in practice we conduct an experimental comparison of four different approximation algorithms for calculating maximum weight matchings in weighted graphs. One of these algorithms is the commonly used Greedy algorithm which achieves a performance ratio of 1/2 but has O(mlog n) runtime. The other three algorithms all have linear runtime. Two of them are the above mentioned 1/2 approximation algorithms. The third algorithm may have an arbitrarily bad performance ratio but in practice produces reasonably good results. We compare the quality of the algorithms on a test set of weighted graphs and study the improvement achieved by our local improvement operations. We also do a comparison of the runtimes of all algorithms.