2-Geodesic-transitive graphs of order twice a prime power
classification
🧮 math.CO
keywords
graphsgeodesic-transitiveorderpowerprimetwicealmostautomorphism
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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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