field of graph theory, the Möbius–Kantor graph is a symmetric bipartite cubic graph with 16 vertices and 24 edges named after August Ferdinand Möbius and Seligmann...
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In geometry, the Möbius–Kantor configuration is a configuration consisting of eight points and eight lines, with three points on each line and three lines...
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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 Möbius–Kantor graph is the...
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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...
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the Möbius–Kantor 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...
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individual graphs are cubic and symmetric, including the utility graph, the Petersen graph, the Heawood graph, the Möbius–Kantor graph, the Pappus graph, the...
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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 (...
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the Möbius–Kantor graph, for example, has crossing number 4 and is toroidal. Any toroidal graph has chromatic number at most 7. The complete graph K7 provides...
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graphs are the n {\displaystyle n} -prism G ( n , 1 ) {\displaystyle G(n,1)} , the Dürer graph G ( 6 , 2 ) {\displaystyle G(6,2)} , the Möbius-Kantor...
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In geometry, the Möbius–Kantor 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...
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spindle and Golomb graph (small 4-chromatic unit distance graphs). All generalized Petersen graphs, such as the Möbius–Kantor graph depicted, are non-strict...
33 KB (4,019 words) - 07:16, 22 November 2024
In the mathematical field of graph theory, a graph G is symmetric or arc-transitive if, given any two ordered pairs of adjacent vertices ( u 1 , v 1 )...
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3-regular graphs. Every strongly regular graph is symmetric, but not vice versa. Heawood graph Möbius–Kantor graph Pappus graph Desargues graph Nauru graph Coxeter...
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the Petersen graph G ( 5 , 2 ) {\displaystyle G(5,2)} , the Möbius–Kantor graph G ( 8 , 3 ) {\displaystyle G(8,3)} , the dodecahedral graph G ( 10 , 2 )...
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Möbius–Kantor configuration is the unique (83). Each incidence structure C corresponds to a bipartite graph called the Levi graph or incidence graph of...
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Austro-Hungarian Empire. He is known for the Möbius–Kantor configuration and the Möbius-Kantor graph. Kantor studied mathematics and physics at the Technische...
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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 (3,160 words) - 20:56, 12 March 2025
The Möbius–Kantor graph, the Cayley graph of the Pauli group with generators X, Y, and Z...
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In geometry, the Möbius configuration or Möbius tetrads is a certain configuration in Euclidean space or projective space, consisting of two tetrahedra...
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various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...
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graph formed by connecting an outer polygon and an inner star with the same number of points; for instance, this applies to the Möbius–Kantor graph and...
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1934 Seifert, Threlfall: Variationsrechnung im Großen, Teubner 1938 Möbius–Kantor graph Schwarz triangle tessellation Gabriele Dörflinger: William R. M....
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configuration, (123 94), points indexed 1...12 can have configuration table: Möbius–Kantor configuration Removing any one point and its four incident lines from...
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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...
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abstractly-described system of points and lines has a planar realization; the Möbius–Kantor configuration of eight points and eight lines does not. It is known...
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Incidence geometry (section Möbius planes)
through that point (but not the other points on them) produces the (83) Möbius–Kantor configuration. Given an integer α ≥ 1, a tactical configuration satisfying:...
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geometry, but cannot be constructed in the Euclidean plane. (83), the Möbius–Kantor configuration. This configuration describes two quadrilaterals that...
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Norman L. Biggs (section Algebraic Graph Theory)
of the graph. Finite Groups of Automorphisms, Cambridge University Press (1971) Algebraic Graph Theory, Cambridge University Press (1974) Graph Theory...
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Surveys the major and minor vector systems of the 19th century (Hamilton, Möbius, Bellavitis, Clifford, Grassmann, Tait, Peirce, Maxwell, Macfarlane, MacAuley...
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