Frucht's theorem is a result in algebraic graph theory, conjectured by Dénes Kőnig in 1936 and proved by Robert Frucht in 1939. It states that every finite...
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theorem. Wagner–Preston theorem is the analogue for inverse semigroups. Birkhoff's representation theorem, a similar result in order theory Frucht's theorem...
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Robert (Roberto) Wertheimer Frucht (1906 - 1997), a German-Chilean mathematician Frucht graph Frucht's theorem Frucht Quark Frücht, a small municipality in...
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algebras) Froda's theorem (mathematical analysis) Frucht's theorem (graph theory) Fubini's theorem (integration) Fubini's theorem on differentiation...
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Frucht's theorem states that any group can be realized as the group of symmetries of a graph, and a strengthening of this theorem also due to Frucht states...
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dominating set Extremal graph theory Critical graph Turán's theorem Frequency partition Frucht's theorem Girth Graph drawing Graph homomorphism Graph labeling...
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graphs are sparse enough that lists of graphs can be drawn up. By Frucht's theorem, all groups can be represented as the automorphism group of a connected...
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the automorphism group of the graph. In the opposite direction, by Frucht's theorem, all groups can be represented as the automorphism group of a connected...
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graphs. In 1908, Frucht's family moved from Brünn, Austria-Hungary (now in the Czech Republic), where he was born, to Berlin. Frucht entered the University...
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functions on a space, and composition of functions is associative. Frucht's theorem says that every group is the symmetry group of some graph. So every...
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rigorously, every group is the symmetry group of some graph; see Frucht's theorem, Frucht 1939. More precisely, the monodromy action on the vector space...
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trees. Frucht 1. Robert Frucht 2. The Frucht graph, one of the two smallest cubic graphs with no nontrivial symmetries. 3. Frucht's theorem that every...
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cubic graphs is the twelve-vertex Frucht graph discovered in 1939. According to a strengthened version of Frucht's theorem, there are infinitely many asymmetric...
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the Johns Hopkins University. Robert Frucht, German-Chilean mathematician, known for developing the Frucht's theorem, emeritus professor 1970. PhD from...
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Sabidussi wrote foundational work on Cayley graphs, graph products and Frucht's theorem. "Internationale Mathematische Nachrichten". Österreichische Mathematische...
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automorphisms, with distinguishing number two. This result extends Frucht's theorem that every finite group can be realized as the group of symmetries...
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test), mathematician Constantin Carathéodory (known for the Carathéodory theorems and Carathéodory conjecture), astronomer E. M. Antoniadi, archaeologists...
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single graph automorphism, the identity automorphism. According to Brooks' theorem every connected cubic graph other than the complete graph K4 has a vertex...
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(long and/or even) cycles. This result, known today as the Erdős–Pósa theorem, cannot be extended to odd cycles. In fact, in 1987 Dejter and Víctor Neumann-Lara...
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each line, and one edge for every incident point-line pair. Desargues' theorem, named after 17th-century French mathematician Gérard Desargues, describes...
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Pythagoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that in a right-angled triangle the area of...
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inequality Schur's theorem Schur-convex function Schur–Weyl duality Lehmer–Schur algorithm Schur's property for normed spaces. Jordan–Schur theorem Schur–Zassenhaus...
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Biography of Frucht (in Spanish), Walter Gaete and Raúl González, retrieved 2010-04-22. Breusch, R. (1954), "Another proof of the prime number theorem", Duke...
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(1924–1980), mathematician Kenneth Appel (1932–2013), proved four-color theorem Zvi Arad (1942–2018), mathematician Vladimir Arnold (1937–2010), mathematician;...
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Petersen graphs are regular graphs of degree three, so according to Brooks' theorem their chromatic number can only be two or three. More exactly: χ ( G (...
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removed, the remaining graph will no longer be 3-connected. By Steinitz's theorem, as a 3-connected planar graph, it can be represented as the set of vertices...
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University Press. ISBN 0-521-41261-7. Ford, Kevin (2007). "From Kolmogorov's theorem on empirical distribution to number theory". In Charpentier, Éric; Lesne...
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