activity
20172023
most citedArc-transitive Cayley graphs on nonabelian simple groups with prime valency

1 citations · 1 across the 10 of their papers we have counts for

collaborators

10 papers

math.GR2023

Quasiprimitive groups with a biregular dihedral subgroup,and arc-transitive bidihedrants

Jiangmin Pan, Fu-Gang Yin, Jin-Xin Zhou

A semiregular permutation group on a set $\Ome$ is called {\em bi-regular} if it has two orbits. A classification is given of quasiprimitive permutation groups with a biregular dih…

math.CO2023

Block-transitive - designs on exceptional groups of Lie type

Ting Lan, Weijun Liu, Fu-Gang Yin

Let be a non-trivial -block-transitive - design, where for some finite non-abelian simple group . It is proved that i…

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…

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…

math.CO2020★ 1 cited

Arc-transitive Cayley graphs on nonabelian simple groups with prime valency

Fu-Gang Yin, Yan-Quan Feng, Jin-Xin Zhou +1

In 2011, Fang et al. in (J. Combin. Theory A 118 (2011) 1039-1051) posed the following problem: Classify non-normal locally primitive Cayley graphs of finite simple groups of valen…

math.CO2018

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…

math.CO2017

Arc-transitive Cayley graphs on non-ableian simple groups with soluble vertex stabilizers and valency seven

Jiangmin Pan, Fugang Yin, Bo Ling

In this paper, we study arc-transitive Cayley graphs on non-abelian simple groups with soluble stabilizers and valency seven. Let $\Ga$ be such a Cayley graph on a non-abelian simp…