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About: 3-dimensional matching     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:State100024720, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatNP-completeProblemsyago:Abstraction100002137yago:Attribute100024264yago:Condition113920835yago:Difficulty114408086yago:Problem114410605yago:State100024720 New Facet based on Instances of this Class

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). 3-dimensional matching, often abbreviated as 3DM, is also the name of a well-known computational problem: finding a largest 3-dimensional matching in a given hypergraph. 3DM is one of the first problems that were proved to be NP-hard.