k-一致超图的Laplacian谱的界

BOUNDS ON THE LAPLACIAN SPECTRUM OF A k-UNIFORM HYPERGRAPH

讨论了k_一致超图的Laplacian谱的界问题 .分别得到了k_一致超图的Laplacian谱的上界和下界 。

In this paper, the bounds on the Laplacian spectrum of a k-uniform hypergraph are studied. An upper bound and a lower bound on the Laplacian spectrum of a k-uniform hypergraph are obtained, respectively. Furthermore, by these results, the authors recognize that the Laplacian matrix of a k-uniform hypergraph is a positive definite matrix.