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A maximum matching (also known as maximum-cardinality matching [2]) is a matching that contains the largest possible number of edges. There may be many maximum matchings. The matching number of a graph G is the size of a maximum matching. Every maximum matching is maximal, but not every maximal matching is a maximum matching.
Matching (graph theory), in graph theory, a set of edges without common vertices; Graph matching, detection of similarity between graphs; Matching (statistics), a technique for reducing bias when analyzing data from observational studies; Pattern matching, in computer science, a way to recognize patterns in strings or more general sequences of ...
Matching is a statistical technique that evaluates the effect of a treatment by comparing the treated and the non-treated units in an observational study or quasi- ...
Every perfect matching is a maximum-cardinality matching, but the opposite is not true. For example, consider the following graphs: [1] In graph (b) there is a perfect matching (of size 3) since all 6 vertices are matched; in graphs (a) and (c) there is a maximum-cardinality matching (of size 2) which is not perfect, since some vertices are ...
3-dimensional matchings. (a) Input T. (b)–(c) Solutions. In the mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs, which consist of hyperedges each of which contains 3 vertices (instead of edges containing 2 vertices in a usual graph).
The matching hypothesis (also known as the matching phenomenon) argues that people are more likely to form and succeed in a committed relationship with someone who is equally socially desirable, typically in the form of physical attraction. [1]
Enjoy a classic game of Hearts and watch out for the Queen of Spades!
Graph matching is the problem of finding a similarity between graphs. [ 1 ] Graphs are commonly used to encode structural information in many fields, including computer vision and pattern recognition , and graph matching is an important tool in these areas. [ 2 ]