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граф Коксетера

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3-регулярный граф с 28 вершинами и 42 рёбрами

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Coxeter graph

aeb.win.tue.nl

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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Article · Русский

Граф Коксетера — 3-регулярный граф с 28 вершинами и 42 рёбрам Все кубические дистанционно-регулярные графы известны, граф Коксетера — один из 13-ти таких графов.

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