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math.CO2024
A family of symmetric graphs in relation to 2-point-transitive linear spaces
Teng Fang, Sanming Zhou, Shenglin Zhou
A graph is -symmetric if it admits as a group of automorphisms acting transitively on the set of arcs of , where an arc is an ordered pair of adjacent vertices. Let $…
math.CO2024
The second largest eigenvalue of some nonnormal Cayley graphs on symmetric groups
Yuxuan Li, Binzhou Xia, Sanming Zhou
A Cayley graph on the symmetric group is said to have the Aldous property if its strictly second largest eigenvalue (that is, the largest eigenvalue strictly smaller than the…