Tutte's theorem may refer to several theorems of W. T. Tutte, including: Tutte's theorem on Hamiltonian cycles, the existence of Hamiltonian cycles in...

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

mid-1930s. Even though Tutte's contributions to graph theory have been influential to modern graph theory and many of his theorems have been used to keep...

In topological graph theory, the Hanani–Tutte theorem is a result on the parity of edge crossings in a graph drawing. It states that every drawing in...

theory the Tutte–Berge formula is a characterization of the size of a maximum matching in a graph. It is a generalization of Tutte's theorem on perfect...

In mathematics, the Tutte homotopy theorem, introduced by Tutte (1958), generalises the concept of "path" from graphs to matroids, and states roughly...

In graph theory, a part of discrete mathematics, the BEST theorem gives a product formula for the number of Eulerian circuits in directed (oriented) graphs...

can be no Hamiltonian cycle. The resulting Tutte graph is 3-connected and planar, so by Steinitz' theorem it is the graph of a polyhedron. In total it...

eigenvalue of certain Schrödinger operators defined by the graph. The Hanani–Tutte theorem states that a graph is planar if and only if it has a drawing in which...

provided by Tutte's theorem on perfect matchings. A generalization of Hall's theorem to bipartite hypergraphs is provided by various Hall-type theorems for hypergraphs...

theory) Tutte's theorem on perfect matchings (graph theory) Turán's theorem (graph theory) Van der Waerden's theorem (combinatorics) Wagner's theorem (graph...

theory, a theorem of W. T. Tutte states that every 4-vertex-connected planar graph has a Hamiltonian cycle. It strengthens an earlier theorem of Hassler...

force Tutte embedding Dubey, N. H. (2013). Engineering Mechanics: Statics and Dynamics. Tata McGraw-Hill Education. ISBN 9780071072595. "Lami's Theorem -...

(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)...

In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states...

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

an odd number of vertices is at most the cardinality of U. Then by Tutte's theorem on perfect matchings G contains a perfect matching. Let Gi be a component...

larger alphabets, in 1951.[3] The BEST theorem, also known as the de Bruijn–van Aardenne-Ehrenfest–Smith–Tutte theorem, relates Euler tours and spanning trees...

two-dimensional Tutte embeddings into three dimensions using the Maxwell–Cremona correspondence, and methods using the circle packing theorem to generate...

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...

type described by Tutte's theorem, may be formed by projecting such a polyhedral representation onto the plane. The Circle packing theorem states that every...

field of graph theory, Kirchhoff's theorem or Kirchhoff's matrix tree theorem named after Gustav Kirchhoff is a theorem about the number of spanning trees...

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...

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...

play a key role in Tutte's theorem on perfect matchings characterizing finite graphs that have perfect matchings and the associated Tutte–Berge formula for...

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

which is at most equal to the crossing number. However, by the Hanani–Tutte theorem, whenever one of these numbers is zero, they all are. Schaefer (2014...

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...

vertices where n is even. Does G contain a perfect matching? Theorem 2 (Tutte 1947): A Tutte matrix determinant is not a 0-polynomial if and only if there...

contraction. Tutte refers to such a function as a W-function. The formula is sometimes referred to as the fundamental reduction theorem. In this article...