Binzhou Xia

New necessary conditions for the existence of finite non-Desarguesian flag-transitive projective planes

B Xia

Journal article  |  2023  |  European Journal of Combinatorics

This paper studies the existence of finite non-Desarguesian flag-transitive projective planes, giving necessary conditions in term..

Aldous’ spectral gap property for normal Cayley graphs on symmetric groups

Y Li, B Xia, S Zhou

Journal article  |  2023  |  European Journal of Combinatorics

Aldous’ spectral gap conjecture states that the second largest eigenvalue of any connected Cayley graph on the symmetric group Sn ..

The smallest vertex-primitive 2-arc-transitive digraph

Fu-Gang Yin, Yan-Quan Feng, Binzhou Xia

Journal article  |  2023  |  Journal of Algebra

Cubic graphical regular representations of some classical simple groups

B Xia, S Zheng, S Zhou

Journal article  |  2022  |  Journal of Algebra

A graphical regular representation (GRR) of a group G is a Cayley graph of G whose full automorphism group is equal to the right r..

2-Arc-transitive Cayley graphs on alternating groups

J Pan, B Xia, F Yin

Journal article  |  2022  |  Journal of Algebra

An interesting fact is that almost all the connected 2-arc-transitive nonnormal Cayley graphs on nonabelian simple groups with sma..

Subgroup regular sets in Cayley graphs

Yanpeng Wang, Binzhou Xia, Sanming Zhou

Journal article  |  2022  |  DISCRETE MATHEMATICS

Let Γ be a graph with vertex set V, and let a and b be nonnegative integers. A subset C of V is called an (a,b)-regular set in Γ i..

Cubic graphical regular representations of PSU3(q)

Jing Jian Li, Binzhou Xia, Xiao Qian Zhang, Shasha Zheng

Journal article  |  2022  |  DISCRETE MATHEMATICS

A graphical regular representation (GRR) of a group G is a Cayley graph of G whose full automorphism group is equal to the right r..

Oriented regular representations of out-valency two for finite simple groups

Gabriel Verret, Binzhou Xia

Journal article  |  2022  |  ARS MATHEMATICA CONTEMPORANEA

Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups

CH Li, B Xia

Journal article  |  2022  |  Memoirs of the American Mathematical Society

A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are onl..

Regular sets in Cayley graphs

Y Wang, B Xia, S Zhou

Journal article  |  2022  |  Journal of Algebraic Combinatorics

In a graph Γ with vertex set V, a subset C of V is called an (a, b)-regular set if every vertex in C has exactly a neighbors in C ..