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math.GR2022
Block-transitive - designs associated with alternating groups
Ting Lan, Weijun Liu, Fu-Gang Yin
Let be a nontrivial - design admitting a block-transitive group of automorphisms. A recent work of Gan and the second author asserts that is eithe…
math.CO2022
Two-geodesic transitive graphs of order with
Jun-Jie Huang, Yan-Quan Feng, Jin-Xin Zhou +1
A vertex triple of a graph is called a -geodesic if is adjacent to both and and is not adjacent to . A graph is said to be -geodesic transitive i…
math.CO2022
The smallest vertex-primitive -arc-transitive digraph
Fu-Gang Yin, Yan-quan Feng, Binzhou Xia
In 2017, Giudici, Li and the third author constructed the first known family of vertex-primitive -arc-transitive digraphs of valency at least . The smallest digraph in this f…