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 Bipartite Matching Bipartite Cardinality Matching Given an undirected, bipartite graph G = (V1,V2,E),E ⊆ V1 × V2 find a maximum subset M ⊆ E of pairwise nonadjacent edges. Perfect Matching M is called a perfect matching iff |V1| = |V2| = |M|. Johannes Langguth Sequential and parallel algorithms for bipartite matching
Outline Introduction Bipartite Matching Parallel Matching Algorithms 2D Partitioning Parallel Algorithm Weighted Bipartit Bipartite Matching Bipartite Cardinality Matching Given an undirected, bipartite graph G = (V1,V2,E),E ⊆ V1 × V2 find a maximum subset M ⊆ E of pairwise nonadjacent edges. Perfect Matching M is called a perfect matching iff |V1| = |V2| = |M|. Old problem A classical topic in combinatorial optimization 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 />
Bipartite Matching<br />
Bipartite Cardinality Matching<br />
Given an undirected, <strong>bipartite</strong> graph G = (V1,V2,E),E ⊆ V1 × V2<br />
find a maximum subset M ⊆ E of pairwise nonadjacent edges.<br />
Perfect Matching<br />
M is called a perfect <strong>matching</strong> iff |V1| = |V2| = |M|.<br />
Old problem<br />
A classical topic in combinatorial optimization<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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