• Thumbnail for Möbius–Kantor graph
    field of graph theory, the MöbiusKantor graph is a symmetric bipartite cubic graph with 16 vertices and 24 edges named after August Ferdinand Möbius and Seligmann...
    13 KB (1,528 words) - 15:05, 16 October 2024
  • Moebius (redirect from Möbius)
    Look up Möbius in Wiktionary, the free dictionary. Moebius, Mœbius, Möbius or Mobius may refer to: August Ferdinand Möbius (1790–1868), German mathematician...
    5 KB (693 words) - 16:59, 5 October 2024
  • Thumbnail for Möbius–Kantor configuration
    In geometry, the MöbiusKantor configuration is a configuration consisting of eight points and eight lines, with three points on each line and three lines...
    9 KB (1,009 words) - 02:28, 20 October 2023
  • Thumbnail for August Ferdinand Möbius
    Leipzig. Möbius died in Leipzig in 1868 at the age of 77. His son Theodor was a noted philologist. He is best known for his discovery of the Möbius strip...
    8 KB (685 words) - 00:10, 25 August 2024
  • Thumbnail for Petersen graph
    Petersen graphs also include the n-prism G ( n , 1 ) {\displaystyle G(n,1)} the Dürer graph G ( 6 , 2 ) {\displaystyle G(6,2)} , the Möbius-Kantor graph G (...
    24 KB (2,943 words) - 11:37, 25 October 2024
  • Thumbnail for Levi graph
    Heawood graph is the Levi graph of the Fano plane. It is also known as the (3,6)-cage, and is 3-regular with 14 vertices. The MöbiusKantor graph is the...
    6 KB (600 words) - 05:49, 27 August 2022
  • Thumbnail for Unit distance graph
    spindle and Golomb graph (small 4-chromatic unit distance graphs). All generalized Petersen graphs, such as the MöbiusKantor graph depicted, are non-strict...
    33 KB (4,019 words) - 07:43, 18 July 2024
  • Austro-Hungarian Empire. He is known for the MöbiusKantor configuration and the Möbius-Kantor graph. Kantor studied mathematics and physics at the Technische...
    4 KB (399 words) - 06:58, 11 January 2024
  • Thumbnail for Toroidal graph
    the MöbiusKantor graph, for example, has crossing number 4 and is toroidal. Any toroidal graph has chromatic number at most 7. The complete graph K7 provides...
    7 KB (696 words) - 09:57, 7 October 2024
  • Thumbnail for Cubic graph
    individual graphs are cubic and symmetric, including the utility graph, the Petersen graph, the Heawood graph, the MöbiusKantor graph, the Pappus graph, the...
    15 KB (1,777 words) - 20:46, 11 March 2024
  • 3-regular graphs. Every strongly regular graph is symmetric, but not vice versa. Heawood graph MöbiusKantor graph Pappus graph Desargues graph Nauru graph Coxeter...
    14 KB (1,251 words) - 14:50, 13 March 2024
  • Thumbnail for Möbius–Kantor polygon
    In geometry, the MöbiusKantor polygon is a regular complex polygon 3{3}3, , in C 2 {\displaystyle \mathbb {C} ^{2}} . 3{3}3 has 8 vertices, and 8 edges...
    6 KB (458 words) - 23:48, 11 February 2024
  • Thumbnail for Möbius configuration
    In geometry, the Möbius configuration or Möbius tetrads is a certain configuration in Euclidean space or projective space, consisting of two tetrahedra...
    12 KB (1,341 words) - 18:15, 17 November 2023
  • Thumbnail for Generalized Petersen graph
    Petersen graphs are the n-prism G(n, 1), the Dürer graph G(6, 2), the Möbius-Kantor graph G(8, 3), the dodecahedron G(10, 2), the Desargues graph G(10, 3)...
    13 KB (1,395 words) - 21:37, 23 October 2024
  • Thumbnail for Symmetric graph
    In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of...
    11 KB (1,158 words) - 12:55, 15 May 2023
  • Thumbnail for Crossing number (graph theory)
    smallest 4-crossing cubic graph is the Möbius-Kantor graph, with 16 vertices. The smallest 5-crossing cubic graph is the Pappus graph, with 18 vertices. The...
    27 KB (3,162 words) - 10:43, 12 October 2024
  • Thumbnail for Nauru graph
    the Petersen graph G ( 5 , 2 ) {\displaystyle G(5,2)} , the MöbiusKantor graph G ( 8 , 3 ) {\displaystyle G(8,3)} , the dodecahedral graph G ( 10 , 2 )...
    11 KB (1,378 words) - 16:58, 11 December 2023
  • Thumbnail for Desargues graph
    the MöbiusKantor graph G(8, 3), the dodecahedral graph G(10, 2) and the Nauru graph G(12, 5). The characteristic polynomial of the Desargues graph is...
    10 KB (1,203 words) - 11:19, 3 August 2024
  • Thumbnail for Pauli group
    The MöbiusKantor graph, the Cayley graph of the Pauli group G 1 {\displaystyle G_{1}} with generators X, Y, and Z...
    3 KB (433 words) - 06:14, 20 August 2024
  • graph formed by connecting an outer polygon and an inner star with the same number of points; for instance, this applies to the MöbiusKantor graph and...
    4 KB (450 words) - 15:10, 2 December 2023
  • Thumbnail for Incidence structure
    MöbiusKantor configuration is the unique (83). Each incidence structure C corresponds to a bipartite graph called the Levi graph or incidence graph of...
    19 KB (2,595 words) - 12:55, 8 November 2024
  • various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...
    7 KB (85 words) - 19:28, 12 March 2024
  • Thumbnail for William Threlfall
    1934 Seifert, Threlfall: Variationsrechnung im Großen, Teubner 1938 MöbiusKantor graph Schwarz triangle tessellation Gabriele Dörflinger: William R. M....
    1 KB (114 words) - 11:18, 18 July 2024
  • through that point (but not the other points on them) produces the (83) MöbiusKantor configuration. Given an integer α ≥ 1, a tactical configuration satisfying:...
    27 KB (3,316 words) - 07:34, 29 August 2023
  • Thumbnail for LCF notation
    LCF notation (category Graph description languages)
    In the mathematical field of graph theory, LCF notation or LCF code is a notation devised by Joshua Lederberg, and extended by H. S. M. Coxeter and Robert...
    11 KB (635 words) - 07:53, 29 May 2023
  • Thumbnail for Configuration (geometry)
    geometry, but cannot be constructed in the Euclidean plane. (83), the MöbiusKantor configuration. This configuration describes two quadrilaterals that...
    15 KB (1,588 words) - 19:07, 12 October 2024
  • of the graph. Finite Groups of Automorphisms, Cambridge University Press (1971) Algebraic Graph Theory, Cambridge University Press (1974) Graph Theory...
    12 KB (1,315 words) - 05:05, 10 January 2024
  • Thumbnail for Hesse configuration
    Hesse configuration produces another configuration of type 8383, the MöbiusKantor configuration. In the Hesse configuration, the 12 lines may be grouped...
    7 KB (849 words) - 19:05, 29 April 2023
  • Thumbnail for 16-cell
    duoprism, the 16-cell can be seen as its dual, a 4-4 duopyramid. The MöbiusKantor polygon is a regular complex polygon 3{3}3, , in C 2 {\displaystyle...
    60 KB (7,175 words) - 20:27, 12 November 2024
  • Thumbnail for Quaternion
    Surveys the major and minor vector systems of the 19th century (Hamilton, Möbius, Bellavitis, Clifford, Grassmann, Tait, Peirce, Maxwell, Macfarlane, MacAuley...
    96 KB (12,689 words) - 12:38, 27 October 2024