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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…
The algebraic multiplicity of the spectral radius of a hypertree
Lixiang Chen, Changjiang Bu
It is well-known that the spectral radius of a connected uniform hypergraph is an eigenvalue of the hypergraph. However, its algebraic multiplicity remains unknown. In this paper,…
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…