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graphe de Coxeter

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cubic distance-regular graph with 28 vertices and 42 edges

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Coxeter graph

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This is the graph on the triangles in the Fano plane, where triangles are adjacent when they are disjoint. The Coxeter graph is maximally non-Hamiltonian: there is a Hamiltonian path between any two nonadjacent vertices. The girth is 7. The binary code generated by the cycles has parameters [42,15,7], with weight enumerator

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En théorie des graphes, le graphe de Coxeter est un graphe cubique symétrique à 28 sommets et 42 arêtes. Il est nommé en l'honneur de H.S.M. Coxeter qui l'appelait « My graph ».

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