English

A More Reliable Greedy Heuristic for Maximum Matchings in Sparse Random Graphs

Data Structures and Algorithms 2012-03-20 v1

Abstract

We propose a new greedy algorithm for the maximum cardinality matching problem. We give experimental evidence that this algorithm is likely to find a maximum matching in random graphs with constant expected degree c>0, independent of the value of c. This is contrary to the behavior of commonly used greedy matching heuristics which are known to have some range of c where they probably fail to compute a maximum matching.

Keywords

Cite

@article{arxiv.1203.4117,
  title  = {A More Reliable Greedy Heuristic for Maximum Matchings in Sparse Random Graphs},
  author = {Martin Dietzfelbinger and Hendrik Peilke and Michael Rink},
  journal= {arXiv preprint arXiv:1203.4117},
  year   = {2012}
}
R2 v1 2026-06-21T20:36:14.957Z