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arXiv · 2604.03944

2-Geodesic-transitive graphs of order twice a prime power

Jiangmin Pan·Cixuan Wu·Yingnan Zhang·Hanlin Zou
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Abstract

In this paper, we study 2-geodesic-transitive graphs of order twice an odd prime power. Classifications of corresponding basic graphs and such graphs with almost simple automorphism groups are given, and a reduction theorem for general case is obtained. Certain new 2-geodesic-transitive graphs are found, and a Magma code regarding 2-geodesic-transitive graphs is provided.

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Jiangmin Pan, Cixuan Wu, Yingnan Zhang, Hanlin Zou. 2026-04-26. 2-Geodesic-transitive graphs of order twice a prime power. https://arxiv.org/abs/2604.03944

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