Sequential and parallel algorithms for bipartite matching
Sequential and parallel algorithms for bipartite matching Sequential and parallel algorithms for bipartite matching
Outline Introduction Bipartite Matching Parallel Matching Algorithms 2D Partitioning Parallel Algorithm Weighted Bipartit Improved Bipartite Matching Algorithms Problem Residual graph changes after every augmentation. Solution Find (maximal) sets of disjoint augmenting paths. Johannes Langguth Sequential and parallel algorithms for bipartite matching
Outline Introduction Bipartite Matching Parallel Matching Algorithms 2D Partitioning Parallel Algorithm Weighted Bipartit Augmenting Path Based Algorithms Hopcroft-Karp Algorithm ’73 Maximal set of shortest disjoint augmenting paths. Uses BFS + DFS Running time: O(m √ n) Johannes Langguth Sequential and parallel algorithms for bipartite matching
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Outline Introduction Bipartite Matching Parallel Matching Algorithms 2D Partitioning Parallel Algorithm Weighted Bipartit<br />
Augmenting Path Based Algorithms<br />
Hopcroft-Karp Algorithm ’73<br />
Maximal set of shortest disjoint augmenting paths.<br />
Uses BFS + DFS<br />
Running time: O(m √ n)<br />
Johannes Langguth <strong>Sequential</strong> <strong>and</strong> <strong>parallel</strong> <strong>algorithms</strong> <strong>for</strong> <strong>bipartite</strong> <strong>matching</strong>
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