165 citations · 445 across the 26 of their papers we have counts for
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Inverse tensor eigenvalue problem
Ke Ye, Shenglong Hu
A tensor , the space of tensors of order and dimension with complex entries, has eigenvalues (counted with algebraic…
Multiplicities of eigenvalues of tensors
Shenglong Hu, Ke Ye
We study in this article multiplicities of eigenvalues of tensors. There are two natural multiplicities associated to an eigenvalue of a tensor: algebraic multiplicity $\operat…
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…