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arXiv · 2611.09000

A Trivalent Graph of Girth 14 and Order 372

Geoffrey Exoo·Theodore Kolokolnikov
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Abstract

The smallest known trivalent graph of girth 14 is constructed. The graph has 372 vertices, improving the old upper bound of 384 \cite{exoo14}. The construction uses methods that may be new to this problem.

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Geoffrey Exoo, Theodore Kolokolnikov. 2026-11-06. A Trivalent Graph of Girth 14 and Order 372. https://arxiv.org/abs/2611.09000

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