activity
20162026
most citedOn -connected-homogeneous graphs

5 citations · 26 across the 37 of their papers we have counts for

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Showing math.GRShow all

7 papers · 1 filter

math.GR2026

Enumeration of orientably-regular maps with automorphism group $\PGam(2,2^p)$ for prime

Yan-Quan Feng, Soňa Pavlíková, Jozef Širáň +2

With help of group characters we enumerate orientably-regular maps of a given type with automorphism group isomorphic to $\PGam(2,2^p)$ for prime .

math.GR2026

The finite -set homogeneous graphs

Cai Heng Li, Fu-Gang Yin, Jin-Xin Zhou

A classification is given of finite -set-homogeneous graphs for , leading to a striking result that each finite -set-homogeneous graph is -homogeneous. It sh…

math.GR2025

On automorphism groups of half-arc-transitive tetravalent graphs

Yuandong Li, Binzhou Xia, Jin-Xin Zhou

We characterize connected tetravalent graphs which admit groups of automorphisms such that is -half-arc-transitive and -arc-transitive. Examples for each case a…

math.GR2025

Normal and non-normal Cayley digraphs on cyclic and dihedral groups

Jun-Feng Yang, Yan-Quan Feng, Fu-Gang Yin +1

A Cayley digraph on a group is called NNN if the Cayley digraph is normal and its automorphism group contains a non-normal regular subgroup isomorphic to . A group is called…

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.GR2018★ 5 cited

On -connected-homogeneous graphs

Alice Devillers, Joanna B. Fawcett, Cheryl E. Praeger +1

A graph is -connected-homogeneous (-CH) if is a positive integer and any isomorphism between connected induced subgraphs of order at most extends to an automorphi…

math.GR2017★ 1 cited

Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups

Jia-Li Du, Yan-Quan Feng, Jin-Xin Zhou

A graph Γis said to be {\em symmetric} if its automorphism group \Aut(Γ) is transitive on the arc set of Γ. Let be a finite non-abelian simple group and let Γbe a connected pen…