3 papers
math.CO2026
Spectral bounds for the independence number of graphs and even uniform hypergraphs
Xinyu Hu, Jiang Zhou, Changjiang Bu
In this paper, we give spectral upper bounds for the independence number of even uniform hypergraphs and graphs, extend the Hoffman bound to even uniform hypergraphs, and give a si…
math.CO2025
Spectral characterizations of local structures of graphs and hypergraphs
Jiang Zhou, Changjiang Bu
In this paper, we give the relationship between spectral radius and local structures of graphs and hypergraphs. Our work shows that certain local subgraphs (subhypergraphs) must oc…
math.CO2025
Perron-Frobenius theorem for dual tensors and its applications
Changjiang Bu, Yue Chu, Qingying Zhang +1
The Perron-Frobenius theorem of nonnegative matrices is a classical result on spectral theory of matrices, which has wide applications in many domains. In this paper, we give the P…