12 papers
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…
Quadratic form estimations for Hessian matrices of resistance distance and Kirchhoff index of positive-weighted graphs
Yu Li, Lizhu Sun, Changjiang Bu
Let be a positive-weighted graph with the weight for all . The weighted graph is called a hyper-dual number…
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…
The high order spectral radius of graphs without long cycles or paths
Yuntian Wang, Lizhu Sun, Changjiang Bu
In 1959, ErdÅs and Gallai established two classic theorems, which determine the maximum number of edges in an -vertex graph with no cycles of length at least , and in an …
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…
The ordering of hypertrees and unicyclic hypergraphs by the traces of -tensor
Jueru Liu, Lizhu Sun, Changjiang Bu
For a real number and a -uniform hypergraph , is called the $\m…