# Some Spectral Properties of Uniform Hypergraphs

@article{Zhou2014SomeSP,
title={Some Spectral Properties of Uniform Hypergraphs},
author={J. Zhou and L. Sun and Wenzhe Wang and C. Bu},
journal={Electron. J. Comb.},
year={2014},
volume={21},
pages={P4.24}
}
• J. Zhou, +1 author C. Bu
• Published 2014
• Computer Science, Mathematics
• Electron. J. Comb.
• For a $k$-uniform hypergraph $H$, we obtain some trace formulas for the Laplacian tensor of $H$, which imply that $\sum_{i=1}^nd_i^s$ ($s=1,\ldots,k$) is determined by the Laplacian spectrum of $H$, where $d_1,\ldots,d_n$ 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 odd-bipartite hypergraphs, and give a partial answer to a… CONTINUE READING

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