• Thumbnail for Frucht's theorem
    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...
    13 KB (1,626 words) - 16:25, 11 November 2023
  • Thumbnail for Frucht
    Robert (Roberto) Wertheimer Frucht (1906 - 1997), a German-Chilean mathematician Frucht graph Frucht's theorem Frucht Quark Frücht, a small municipality in...
    2 KB (102 words) - 14:53, 20 September 2023
  • algebras) Froda's theorem (mathematical analysis) Frucht's theorem (graph theory) Fubini's theorem (integration) Fubini's theorem on differentiation...
    73 KB (6,015 words) - 12:17, 2 August 2024
  • Thumbnail for Frucht graph
    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...
    4 KB (362 words) - 15:39, 20 November 2023
  • dominating set Extremal graph theory Critical graph Turán's theorem Frequency partition Frucht's theorem Girth Graph drawing Graph homomorphism Graph labeling...
    7 KB (663 words) - 12:09, 11 September 2024
  • Thumbnail for Algebraic graph theory
    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...
    7 KB (671 words) - 16:56, 27 November 2023
  • 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...
    14 KB (1,352 words) - 15:22, 1 August 2024
  • 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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  • Thumbnail for Group theory
    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...
    40 KB (5,204 words) - 12:00, 26 May 2024
  • Thumbnail for Group (mathematics)
    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...
    101 KB (13,126 words) - 15:47, 13 September 2024
  • 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...
    107 KB (15,784 words) - 17:42, 20 August 2024
  • Thumbnail for Asymmetric graph
    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...
    5 KB (534 words) - 16:54, 15 August 2024
  • Thumbnail for Federico Santa María Technical University
    the Johns Hopkins University. Robert Frucht, German-Chilean mathematician, known for developing the Frucht's theorem, emeritus professor 1970. PhD from...
    70 KB (6,581 words) - 14:41, 22 August 2024
  • Sabidussi wrote foundational work on Cayley graphs, graph products and Frucht's theorem. "Internationale Mathematische Nachrichten". Österreichische Mathematische...
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  • Thumbnail for Distinguishing coloring
    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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  • Thumbnail for Greece
    test), mathematician Constantin Carathéodory (known for the Carathéodory theorems and Carathéodory conjecture), astronomer E. M. Antoniadi, archaeologists...
    284 KB (25,661 words) - 18:51, 13 September 2024
  • Thumbnail for Cubic graph
    single graph automorphism, the identity automorphism. According to Brooks' theorem every connected cubic graph other than the complete graph K4 has a vertex...
    15 KB (1,777 words) - 20:46, 11 March 2024
  • Thumbnail for Italo Jose Dejter
    (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...
    40 KB (5,660 words) - 18:38, 8 June 2024
  • Thumbnail for Desargues graph
    each line, and one edge for every incident point-line pair. Desargues' theorem, named after 17th-century French mathematician Gérard Desargues, describes...
    10 KB (1,203 words) - 11:19, 3 August 2024
  • 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...
    99 KB (11,511 words) - 01:12, 16 August 2024
  • Thumbnail for Issai Schur
    inequality Schur's theorem Schur-convex function Schur–Weyl duality Lehmer–Schur algorithm Schur's property for normed spaces. Jordan–Schur theorem Schur–Zassenhaus...
    29 KB (3,949 words) - 12:58, 31 August 2024
  • 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;...
    179 KB (15,770 words) - 20:14, 16 July 2024
  • Thumbnail for Generalized Petersen graph
    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 (...
    13 KB (1,395 words) - 05:18, 25 May 2024
  • Thumbnail for Halin graph
    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...
    18 KB (2,157 words) - 18:06, 15 August 2024
  • Thumbnail for Jonas Kubilius
    University Press. ISBN 0-521-41261-7. Ford, Kevin (2007). "From Kolmogorov's theorem on empirical distribution to number theory". In Charpentier, Éric; Lesne...
    14 KB (1,193 words) - 23:29, 5 May 2024