Some Spectral Properties of Uniform Hypergraphs

@article{Zhou2014SomeSP,
  title={Some Spectral Properties of Uniform Hypergraphs},
  author={Jiang Zhou and Lizhu Sun and Wenzhe Wang and Changjiang Bu},
  journal={Electr. J. Comb.},
  year={2014},
  volume={21},
  pages={P4.24}
}
For a k-uniform hypergraph H, we obtain some trace formulas for the Laplacian tensor of H, which imply that ∑n i=1 d s i (s = 1, . . . , k) is determined by the Laplacian spectrum of H, where d1, . . . , dn is the degree sequence of H. Using trace formulas for the Laplacian tensor, we obtain expressions for some coefficients of the Laplacian polynomial of a regular hypergraph. We give some spectral characterizations of oddbipartite hypergraphs, and give a partial answer to a question posed by… CONTINUE READING

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