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arXiv · 1203.4117

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

Martin Dietzfelbinger·Hendrik Peilke·Michael Rink
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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.

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Martin Dietzfelbinger, Hendrik Peilke, Michael Rink. 2012-03-19. A More Reliable Greedy Heuristic for Maximum Matchings in Sparse Random Graphs. https://arxiv.org/abs/1203.4117

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