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The girth of hexagon, sextet and triplet graphs

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Tables of girth values of Hoare's sextet, hexagon and triplet graphs of order at most 10^9, 10^9 and 5 x 10^9 respectively, and the Python program that produced them. Two of the sextet graphs, and the bipartite double cover of one of them, have a previously unnoticed record low order (among cubic graphs) relative to the girth.

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2024-08-21
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