Not to be confused with Tutte homotopy theorem or Tutte's spring theorem.
In the mathematical discipline of graph theory the Tutte theorem, named after William Thomas Tutte, is a characterization of finite undirected graphs with perfect matchings. It is a generalization of Hall's marriage theorem from bipartite to arbitrary graphs.[clarification needed] It is a special case of the Tutte–Berge formula.
In the mathematical discipline of graph theory the Tuttetheorem, named after William Thomas Tutte, is a characterization of finite undirected graphs...
eigenvalue of certain Schrödinger operators defined by the graph. The Hanani–Tuttetheorem states that a graph is planar if and only if it has a drawing in which...
discovered it: N. G. de Bruijn, Tatyana Ehrenfest, Cedric Smith and W. T. Tutte. Let G = (V, E) be a directed graph. An Eulerian circuit is a directed closed...
In mathematics, the Tutte homotopy theorem, introduced by Tutte (1958), generalises the concept of "path" from graphs to matroids, and states roughly...
factor-critical. Hall's marriage theorem provides a characterization of bipartite graphs which have a perfect matching. The Tuttetheorem provides a characterization...
larger alphabets, in 1951.[3] The BEST theorem, also known as the de Bruijn–van Aardenne-Ehrenfest–Smith–Tuttetheorem, relates Euler tours and spanning trees...
equations geometrically produces a planar embedding. Tutte's spring theorem, proven by W. T. Tutte (1963), states that this unique solution is always crossing-free...
(1931), "A theorem on graphs", Annals of Mathematics, Second Series, 32 (2): 378–390, doi:10.2307/1968197, JSTOR 1968197, MR 1503003 Tutte, W. T. (1956)...
The Tutte polynomial, also called the dichromate or the Tutte–Whitney polynomial, is a graph polynomial. It is a polynomial in two variables which plays...
triangle, and the example can be generalized to the Mycielskians. Theorem (William T. Tutte 1947, Alexander Zykov 1949, Jan Mycielski 1955): There exist triangle-free...
later, in many cases based on Grinberg's theorem. From a small planar graph called the Tutte fragment, W. T. Tutte constructed a non-Hamiltonian polyhedron...
theorem the theory of chain groups and their matroids and the tools he used to prove many of his results: the "Path theorem" "Tutte homotopy theorem"...
(1928–2014) is the eponym of many things. Ax–Grothendieck theorem Birkhoff–Grothendieck theorem Brieskorn–Grothendieck resolution Dolbeault-Grothendieck...