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About: Tutte 12-cage     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatRegularGraphs, within Data Space : dbpedia.org associated with source document(s)

Type: softwareyago:Abstraction100002137yago:Communication100033020yago:Graph107000195yago:WikicatIndividualGraphsyago:VisualCommunication106873252yago:WikicatRegularGraphs New Facet based on Instances of this Class

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.