activity
20162022
most citedErdős-Ko-Rado problems for permutation groups

8 citations · 11 across the 7 of their papers we have counts for

collaborators

8 papers

math.CO2022★ 2 cited

Locally Finite Vertex-Rotary Maps and Coset Graphs with Finite Valency and Finite Edge Multiplicity

Cai Heng Li, Cheryl E. Praeger, Shu Jiao Song

It is well-known that a simple -arc-transitive graph can be represented as a coset graph for the group . This representation is extended to a construction of -arc-transiti…

math.CO2021

The graphs with a symmetrical Euler cycle

Jiyong Chen, Cai Heng Li, Cheryl E. Praeger +1

The edges surrounding a face of a map form a cycle , called the boundary cycle of the face, and is often not a simple cycle. If the map is arc-transitive, then there…

math.CO2021

On finite subnormal Cayley graphs

Shu Jiao Song

In this paper we introduce and study a type of Cayley graph -- subnormal Cayley graph. We prove that a subnormal 2-arc transitive Cayley graph is a normal Cayley graph or a normal…

math.CO2021

Arc transitive circulants

Shu Jiao Song

This short paper presents characterisations of normal arc-transitive circulants and arc-transitive normal circulants, that is, for a connected arc-transitive circulant $Γ=\Cay(C,S)…

math.CO2021

Finite permutation groups containing a regular dihedral subgroup

Shu Jiao Song

We present a characterization of finite permutation groups which contain a transitive dihedral subgroup.

math.CO2020★ 8 cited

Erdős-Ko-Rado problems for permutation groups

Cai Heng Li, Shu Jiao Song, Venkata Raghu Tej Pantangi

In this paper, we study intersecting sets in primitive and quasiprimitive permutation groups. Let be a transitive permutation group, and an inte…

math.CO2016

A classification of tetravalent edge-transitive metacirculants of odd order

Shu Jiao Song

In this paper a classification of tetravalent edge-transitive metacirculants is given. It is shown that a tetravalent edge-transitive metacirculant is a normal graph except for…

math.CO2016★ 1 cited

On the stabilisers of locally 2-transitive graphs

Shu Jiao Song

For a connected locally )-arc-transitive graph with and an edge , determining the amalgam is a fundamental problem in the area of…