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math.CO2023
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…
math.CO2023
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,…
math.CO2023
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…