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Maximum-weight Matching
In computer science and graph theory, the maximum weight matching problem is the problem of finding, in a weighted graph, a matching in which the sum of weights is maximized. A special case of the maximum weight matching problem is the assignment problem, in which the graph is a bipartite graph and the matching must have cardinality equal to that of the smaller of the two partitions. Another special case is the problem of finding a maximum cardinality matching on an unweighted graph: this corresponds to the case where all edge weights are the same. Algorithms There is a O(V^E) time algorithm to find a maximum matching or a maximum weight matching in a graph that is not bipartite; it is due to Jack Edmonds, is called the ''paths, trees, and flowers'' method or simply Edmonds' algorithm, and uses bidirected edges. A generalization of the same technique can also be used to find maximum independent sets in claw-free graphs. More elaborate algorithms exist and are reviewed by D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Max Weight Matching
Max or MAX may refer to: Animals * Max (American dog) (1983–2013), at one time purported to be the world's oldest living dog * Max (British dog), the first pet dog to win the PDSA Order of Merit (animal equivalent of the OBE) * Max (gorilla) (1971–2004), a western lowland gorilla at the Johannesburg Zoo who was shot by a criminal in 1997 Brands and enterprises * Australian Max Beer * Max Hamburgers, a fast-food corporation * MAX Index, a Hungarian domestic government bond index * Max Fashion, an Indian clothing brand Computing * MAX (operating system), a Spanish-language Linux version * Max (software), a music programming language * MAX Machine * Multimedia Acceleration eXtensions, extensions for HP PA-RISC Films * ''Max'' (1994 film), a Canadian film by Charles Wilkinson * ''Max'' (2002 film), a film about Adolf Hitler * ''Max'' (2015 film), an American war drama film * ''Max'' (2024 film), an Indian Kannada language film by Vijay Karthikeyaa Games * '' Dancing Stage ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
