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math.CO2021
Prime-valent Symmetric graphs with a quasi-semiregular automorphism
Fu-Gang Yin, Yan-Quan Feng, Jin-Xin Zhou +1
An automorphism of a graph is called quasi-semiregular if it fixes a unique vertex of the graph and its remaining cycles have the same length. This kind of symmetry of graphs was f…
math.CO2021
2-Arc-transitive Cayley graphs on alternating groups
Jiangmin Pan, Binzhou Xia, Fugang Yin
An interesting fact is that most of the known connected -arc-transitive nonnormal Cayley graphs of small valency on finite simple groups are -arc-transitiv…