5 papers
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…
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…
Non-solvable -arc-transitive covers of Petersen graphs
Jiyong Chen, Cai Heng Li, Ci Xuan Wu +1
We construct connected -arc-transitive covers of the Petersen graph with non-solvable transformation groups, solving the long-standing problem for the existence of such covers.
Vertex-primitive s-arc-transitive digraphs of alternating and symmetric groups
Jiangmin Pan, Cixuan Wu, Fugang Yin
A fascinating problem on digraphs is the existence problem of the finiteupper bound on s for all vertex-primitive s-arc-transitive digraphs except directed cycles (which is known t…
Pentavalent symmetric graphs of order four times an odd square-free integer
Bo Ling, Ben Gong Lou, Ci Xuan Wu
A graph is said to be symmetric if its automorphism group is transitive on its arcs. Guo et al. (Electronic J. Combin. 18, \#P233, 2011) and Pan et al. (Electronic J. Combin. 20, \…