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The Laplacian spectral moments of power hypergraphs
Jueru Liu, Lixiang Chen, Changjiang Bu
The -th order Laplacian spectral moment of a -uniform hypergraph is the sum of the -th powers of all eigenvalues of its Laplacian tensor. In this paper, we obtain some exp…
The multiplicity of the zero Laplacian eigenvalue of uniform hypertrees
Ge Lin, Changjiang Bu
In this paper, the Laplacian characteristic polynomial of uniform hypergraphs with cut vertices or pendant edges and the Laplacian matching polynomial of uniform hypergraphs are ch…
Lexicographical ordering of hypergraphs via spectral moment
Hong Zhou, Changjiang Bu
The lexicographical ordering of hypergraphs via spectral moments is called the -order of hypergraphs.In this paper, the -order of hypergraphs is investigated.We characterize…
Spectra of power hypergraphs and signed graphs via parity-closed walks
Lixiang Chen, Edwin R. van Dam, Changjiang Bu
The -power hypergraph is the -uniform hypergraph that is obtained by adding new vertices to each edge of a graph , for . A parity-closed walk in…
On a generalization of the spectral Mantel's theorem
Chunmeng Liu, Changjiang Bu
Mantel's theorem is a classical result in extremal graph theory which implies that the maximum number of edges of a triangle-free graph of order . In 1970, E. Nosal obtained a s…
Minimum (maximum) rank of tensors and the sign nonsingular tensors
Changjiang Bu, Wenzhe Wang, Lizhu Sun +1
In this paper, we define the minimum (maximum) rank, term rank and the sign nonsingular of tensors. The sufficiency and necessity for the minimum rank of a real tensor to be is…