Binzhou Xia

activity

20142026

most citedCanonical double covers of generalized Petersen graphs, and double generalized Petersen graphs

10 citations · 56 across the 48 of their papers we have counts for

collaborators

51 papers

math.GR2026

Tilings of symmetric and alternating groups by conjugacy classes

Gábor Somlai, Binzhou Xia, Sanming Zhou

We study tilings of symmetric and alternating groups by conjugacy classes. For $S_{n}$ , the case where the conjugacy class consists of transpositions was first investigated by Rothau…

math.CO2024

The second largest eigenvalue of some nonnormal Cayley graphs on symmetric groups

Yuxuan Li, Binzhou Xia, Sanming Zhou

A Cayley graph on the symmetric group $S_{n}$ is said to have the Aldous property if its strictly second largest eigenvalue (that is, the largest eigenvalue strictly smaller than the…

math.CO2023

Generalized quaternion groups with the m-DCI property

Jin-Hua Xie, Yan-Quan Feng, Binzhou Xia

A Cayley digraph Cay(G,S) of a finite group $G$ with respect to a subset $S$ of $G$ is said to be a CI-digraph if for every Cayley digraph Cay(G,T) isomorphic to Cay(G,S), there ex…

math.GR2023

A complete classification of shuffle groups

Binzhou Xia, Junyang Zhang, Zhishuo Zhang +1

For positive integers $k$ and $n$ , the shuffle group $G_{k, k n}$ is generated by the $k!$ permutations of a deck of $k n$ cards performed by cutting the deck into $k$ piles with $n$ …

math.GR2023★ 1 cited

Graphical regular representations of $(2, p)$ -generated groups

Binzhou Xia

For groups $G$ that can be generated by an involution and an element of odd prime order, this paper gives a sufficient condition for a certain Cayley graph of $G$ to be a graphical…

math.CO2023★ 3 cited

The second largest eigenvalue of normal Cayley graphs on symmetric groups generated by cycles