Graph theory problem: find a matching with max total weight
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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 it is the assignment problem, in which the input is restricted to be a bipartite graph, and the matching constrained to be have cardinality 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.
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graph theory, the maximumweightmatching problem is the problem of finding, in a weighted graph, a matching in which the sum of weights is maximized. A...
Maximum cardinality matching is a fundamental problem in graph theory. We are given a graph G, and the goal is to find a matching containing as many edges...
problem, of finding a matching in a weighted graph where the sum of weights is maximized, is called the maximumweightmatching problem. Another generalization...
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the maximum flow in N {\displaystyle N} is equal to the size of the maximummatching in G {\displaystyle G} , and a maximum cardinality matching can be...
problem may refer to: Assignment problem, consisting of finding a maximumweightmatching in a weighted bipartite graph Secretary problem, also called the...
a maximum-weight fractional matching to a maximum-weight integral matching of the same size, in the following way: Let f be the fractional matching. Let...
assignment problem seeks to find a matching in a weighted bipartite graph that has maximumweight. Maximum weighted matchings do not have to be stable, but...
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allocation maximizing the sum of utilities is equivalent to finding a maximum-weightmatching in a weighted bipartite graph; it is also called the assignment...
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vertices. A larger matching can be found as the symmetric difference of the matching and the augmenting path; a matching is maximum if and only if it has...
the single-terminal case to the maximum flow problem), and approximating the minimum-cost weighted perfect matching. Other practical applications based...
Stratification matching Difference-in-differences matching (kernel and local linear weights) Exact matching 3. Check that covariates are balanced across treatment...