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math.CO2026
2-Geodesic-transitive graphs of order twice a prime power
Jiangmin Pan, Cixuan Wu, Yingnan Zhang +1
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 automorphis…
math.CO2026
A construction of 2-arc-transitive non-solvable covers of complete graphs
Jiyong Chen, Cai Heng Li, Ci Xuan Wu +1
We construct connected -arc-transitive covers of complete graphs with non-abelian characteristically simple transformation groups. This solves the existence problem for non-solv…