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- Tutte–Coxeter_graph abstract "In the mathematical field of graph theory, the Tutte–Coxeter graph or Tutte eight-cage is a 3-regular graph with 30 vertices and 45 edges. As the unique smallest cubic graph of girth 8 it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle W2 (known as the Cremona–Richmond configuration). The graph is named after William Thomas Tutte and H. S. M. Coxeter; it was discovered by Tutte (1947) but its connection to geometric configurations was investigated by both authors in a pair of jointly published papers (Tutte 1958; Coxeter 1958a).All the cubic distance-regular graphs are known. The Tutte–Coxeter is one of the 13 such graphs.".
- Tutte–Coxeter_graph thumbnail Tutte_eight_cage.svg?width=300.
- Tutte–Coxeter_graph wikiPageID "1396880".
- Tutte–Coxeter_graph wikiPageRevisionID "603463093".
- Tutte–Coxeter_graph automorphisms "1440".
- Tutte–Coxeter_graph chromaticIndex "3".
- Tutte–Coxeter_graph chromaticNumber "2".
- Tutte–Coxeter_graph diameter "4".
- Tutte–Coxeter_graph edges "45".
- Tutte–Coxeter_graph girth "8".
- Tutte–Coxeter_graph name "Tutte–Coxeter graph".
- Tutte–Coxeter_graph namesake Harold_Scott_MacDonald_Coxeter.
- Tutte–Coxeter_graph namesake W._T._Tutte.
- Tutte–Coxeter_graph properties Bipartite_graph.
- Tutte–Coxeter_graph properties Cage_(graph_theory).
- Tutte–Coxeter_graph properties Cubic_graph.
- Tutte–Coxeter_graph properties Distance-regular_graph.
- Tutte–Coxeter_graph properties Distance-transitive_graph.
- Tutte–Coxeter_graph properties Moore_graph.
- Tutte–Coxeter_graph properties Symmetric_graph.
- Tutte–Coxeter_graph title "Levi Graph".
- Tutte–Coxeter_graph urlname "LeviGraph".
- Tutte–Coxeter_graph vertices "30".
- Tutte–Coxeter_graph subject Category:1958_introductions.
- Tutte–Coxeter_graph subject Category:Configurations.
- Tutte–Coxeter_graph subject Category:Individual_graphs.
- Tutte–Coxeter_graph subject Category:Regular_graphs.
- Tutte–Coxeter_graph comment "In the mathematical field of graph theory, the Tutte–Coxeter graph or Tutte eight-cage is a 3-regular graph with 30 vertices and 45 edges. As the unique smallest cubic graph of girth 8 it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle W2 (known as the Cremona–Richmond configuration). The graph is named after William Thomas Tutte and H. S. M.".
- Tutte–Coxeter_graph label "Graphe de Tutte–Coxeter".
- Tutte–Coxeter_graph label "Tutte–Coxeter graph".
- Tutte–Coxeter_graph label "Граф Татта — Коксетера".
- Tutte–Coxeter_graph sameAs Tutte%E2%80%93Coxeter_graph.
- Tutte–Coxeter_graph sameAs Graphe_de_Tutte–Coxeter.
- Tutte–Coxeter_graph sameAs Q3115542.
- Tutte–Coxeter_graph sameAs Q3115542.
- Tutte–Coxeter_graph wasDerivedFrom Tutte–Coxeter_graph?oldid=603463093.
- Tutte–Coxeter_graph depiction Tutte_eight_cage.svg.
