35 citations · 107 across the 22 of their papers we have counts for
6 papers · 1 filter
Eigenvectors of Z-tensors associated with least H-eigenvalue with application to hypergraphs
Yi-Zheng Fan, Yi Wang, Yan-Hong Bao
Unlike an irreducible -matrices, a weakly irreducible -tensor can have more than one eigenvector associated with the least H-eigenvalue. We show that there are…
Eigenvectors of Laplacian or signless Laplacian of Hypergraphs Associated with Zero Eigenvalue
Yi-Zheng Fan, Yi Wang, Yan-Hong Bao +3
Let be a connected -uniform hypergraph. In this paper we mainly consider the eigenvectors of the Laplacian or signless Laplacian tensor of associated with zero eigenvalu…
A Combinatorial Method for Computing Characteristic Polynomials of Starlike Hypergraphs
Yan-Hong Bao, Yi-Zheng Fan, Yi Wang +1
By using the Poisson formula for resultants and the variants of chip-firing game on graphs, we provide a combinatorial method for computing a class of of resultants, i.e. the chara…
The Dimension of Eigenvariety of Nonnegative Tensors Associated with Spectral Radius
Yi-Zheng Fan, Tao Huang, Yan-Hong Bao
For a nonnegative weakly irreducible tensor, its spectral radius is an eigenvalue corresponding to a unique positive eigenvector up to a scalar called the Perron vector. But includ…
Eigenvariety of Nonnegative Symmetric Weakly Irreducible Tensors Associated with Spectral Radius and Its Application to Hypergraphs
Yi-Zheng Fan, Yan-Hong Bao, Tao Huang
For a nonnegative symmetric weakly irreducible tensor, its spectral radius is an eigenvalue corresponding to a unique positive eigenvector up to a scalar called the Perron vector.…
The spectral symmetry of weakly irreducible nonnegative tensors and connected hypergraphs
Yi-Zheng Fan, Tao Huang, Yan-Hong Bao +2
Let be a weakly irreducible nonnegative tensor with spectral radius . Let (respectively, ) be the set of normalized…