Regular graphs | Individual graphs

Tutte 12-cage

In the mathematical field of graph theory, the Tutte 12-cage or Benson graph is a 3-regular graph with 126 vertices and 189 edges named after W. T. Tutte. The Tutte 12-cage is the unique (3-12)-cage (sequence in the OEIS). It was discovered by C. T. Benson in 1966. It has chromatic number 2 (bipartite), chromatic index 3, girth 12 (as a 12-cage) and diameter 6. Its crossing number is 170 and has been conjectured to be the smallest cubic graph with this crossing number. (Wikipedia).

Tutte 12-cage
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Characteristic polynomial | Semi-symmetric graph | LCF notation | Cage (graph theory) | Generalized polygon | Vertex-transitive graph | Regular graph | Balaban 11-cage | Gray graph | Graph theory | Bipartite graph | Mathematics | Cubic graph | Cyclic group | 110-vertex Iofinova-Ivanov graph | Spectral graph theory | Chromatic number | Ljubljana graph | W. T. Tutte | Crossing number (graph theory) | Edge-transitive graph