Explore: Marriage Theorem

mathematics, Hall's marriage theorem, proved by Philip Hall (1935), is a theorem with two equivalent formulations. In each case, the theorem gives a necessary

In mathematics, the marriage theorem may refer to: Hall's marriage theorem giving necessary and sufficient conditions for the existence of a system of

polynomials Hall subgroup Hall–Higman theorem Hall–Littlewood polynomial Hall's universal group Hall's marriage theorem Hall word Hall–Witt identity Irwin–Hall

theory, Hall-type theorems for hypergraphs are several generalizations of Hall's marriage theorem from graphs to hypergraphs. Such theorems were proved by

X is known as a 'convex combination'.) A proof of the theorem based on Hall's marriage theorem is given below. This representation is known as the Birkhoff–von

Dilworth's theorem is equivalent to Kőnig's theorem on bipartite graph matching and several other related theorems including Hall's marriage theorem. To prove

In mathematics, Hall's theorem may refer to: Hall's marriage theorem One of several theorems about Hall subgroups This disambiguation page lists mathematics

Hajnal–Szemerédi theorem (graph theory) Hales–Jewett theorem (combinatorics) Hall's marriage theorem (combinatorics) Halpern–Läuchli theorem (Ramsey theory)

the other implies that it fails the necessary conditions of Hall's marriage theorem, so no matching exists. The problem can also be solved by formulating

In the mathematical discipline of graph theory, the Tutte theorem, named after William Thomas Tutte, is a characterization of finite undirected graphs