165 citations · 445 across the 26 of their papers we have counts for
5 papers · 2 filters
Some new trace formulas of tensors with applications in spectral hypergraph theory
Jia-Yu Shao, Liqun Qi, Shenglong Hu
We give some graph theoretical formulas for the trace of a tensor which do not involve the differential operators and auxiliary matrix. As applica…
The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph
Shenglong Hu, Liqun Qi, Jinshan Xie
In this paper, we show that the largest Laplacian H-eigenvalue of a -uniform nontrivial hypergraph is strictly larger than the maximum degree when is even. A tight lower bou…
Cored Hypergraphs, Power Hypergraphs and Their Laplacian H-Eigenvalues
Shenglong Hu, Liqun Qi, Jia-Yu Shao
In this paper, we introduce the class of cored hypergraphs and power hypergraphs, and investigate the properties of their Laplacian H-eigenvalues. From an ordinary graph, one may g…
The Eigenvectors of the Zero Laplacian and Signless Laplacian Eigenvalues of a Uniform Hypergraph
Shenglong Hu, Liqun Qi
In this paper, we show that the eigenvectors of the zero Laplacian and signless Lapacian eigenvalues of a -uniform hypergraph are closely related to some configured components o…
The E-Eigenvectors of Tensors
Shenglong Hu, Liqun Qi
We first show that the eigenvector of a tensor is well-defined. The differences between the eigenvectors of a tensor and its E-eigenvectors are the eigenvectors on the nonsingular…