期刊
LINEAR & MULTILINEAR ALGEBRA
卷 51, 期 3, 页码 285-297出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/0308108031000084374
关键词
Laplacian eigenvalues; walk-regular hypergraphs; local spectrum; excess; mean distance
类别
We use the generalization of the Laplacian matrix to hypergraphs to obtain several spectral-like results on hypergraphs. For instance, we obtain upper bounds on the eccentricity and the excess of any vertex of hypergraphs. We extend to the case of hypergraphs the concepts of walk regularity and spectral regularity, showing that all walk-regular hypergraphs are spectrally-regular. Finally, we obtain an upper bound on the mean distance of walk-regular hypergraphs that involves all the Laplacian spectrum.
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