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

theorem, named after William Thomas Tutte, is a characterization of finite undirected graphs with perfect matchings. It is a generalization of Hall's...

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

Hall algebra, and Hall polynomials Hall subgroup Hall–Higman theorem Hall–Littlewood polynomial Hall's universal group Hall's marriage theorem Hall word...

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...

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

theory that is used to refine various theorems related to perfect matching in graphs, such as Hall's marriage theorem. This was first studied by Øystein...

mathematics in 1979. With Nash-Williams and Shelah he generalized Hall's marriage theorem by obtaining the right transfinite conditions for infinite bipartite...

Södertälje, Sweden Hall theorem, also known as Hall's Marriage Theorem, a mathematical theorem named after Philip Hall Hall.com, a Hall, Inc. online enterprise...

combinatorics, such as Hall's marriage theorem and Dilworth's theorem. Since bipartite matching is a special case of maximum flow, the theorem also results from...

contradiction. A different theorem of Steinhaus, related to arranging rooks on a chessboard, that can be proved using Hall's marriage theorem. Kulpa, Władysław;...

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

factor-critical. Hall's marriage theorem provides a characterization of bipartite graphs which have a perfect matching. The Tutte theorem provides a characterization...

simultaneously satisfying all job-seekers and filling all jobs; Hall's marriage theorem provides a characterization of the bipartite graphs which allow...

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

X-perfect fractional matching, and G satisfies the condition to Hall's marriage theorem. The first condition implies the second because an integral matching...

In graph theory, a Hall violator is a set of vertices in a graph, that violate the condition to Hall's marriage theorem. Formally, given a bipartite graph...

than 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...

uses Hall's marriage theorem which is given this name because it is often explained as follows. Suppose there are r boys and r girls. The theorem states...

subclass of the proper class of all sets (the universe). Hall's marriage theorem, due to Philip Hall, gives necessary and sufficient conditions for a finite...

bipartite graphs. Hall's marriage theorem provides a characterization of bipartite graphs which have a perfect matching and the Tutte theorem provides a characterization...

examples of such graphs include: Any regular bipartite graph. Hall's marriage theorem can be used to show that a k-regular bipartite graph contains a...

set of vertices without regard to the parity of the components Hall's marriage theorem Berge, C. (1958). "Sur le couplage maximum d'un graphe". Comptes...

of size exactly r {\displaystyle r} either by an application of Hall's marriage theorem, or by choosing each enlarged subset from the same chain in a symmetric...

also say that M {\displaystyle M} saturates v {\displaystyle v} . Hall's marriage theorem Bipartite matching For some results, see https://faculty.math.illinois...

question in the study of SDR is whether or not an SDR exists. Hall's marriage theorem gives necessary and sufficient conditions for a finite collection...

two hyperedges. Hall's marriage theorem has been generalized from bipartite graphs to bipartite hypergraphs; see Hall-type theorems for hypergraphs....

matrices Generalized Hadamard matrices Regular Hadamard matrices Hall's marriage theorem Perfect matching Hamming distance Hash function Hash collision...

rows to an r × n Latin rectangle to form a Latin square, using Hall's marriage theorem. Two Latin squares of order n are said to be orthogonal if the...