Jin-Xin Zhou

collaborators

4 papers

math.GR2026

The finite $k$ -set homogeneous graphs

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

A classification is given of finite $k$ -set-homogeneous graphs for $k ⩾ 2$ , leading to a striking result that each finite $k$ -set-homogeneous graph is $k$ -homogeneous. It sh…

math.CO2025

Eigenvalue bounds for combinatorial Laplacians and an application to random complexes

Xiongfeng Zhan, Xueyi Huang, Jin-Xin Zhou

This paper establishes new eigenvalue bounds for combinatorial Laplacians of simplicial complexes, extending previous results for flag complexes by Lew (2024) and general complexes…

math.CO2025

On kernel isomorphisms of $m$ -Cayley digraphs and finite $2$ PCI-groups

Xing Zhang, Yan-Quan Feng, Jin-Xin Zhou +1

The isomorphism problem for digraphs is a fundamental problem in graph theory. In this paper, we consider this problem for $m$ -Cayley digraphs which are generalization of Cayley di…

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

The finite k-set homogeneous graphs

Eigenvalue bounds for combinatorial Laplacians and an application to random complexes

On kernel isomorphisms of m-Cayley digraphs and finite 2PCI-groups

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

The finite $k$ -set homogeneous graphs

On kernel isomorphisms of $m$ -Cayley digraphs and finite $2$ PCI-groups