Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772998 | Linear Algebra and its Applications | 2017 | 12 Pages |
Abstract
In this paper we study the spectra of uniform hypertrees by using the generalized weighted incident matrix. We show that λ is a nonzero eigenvalue of the hypertree H corresponding to an eigenvector with all elements nonzero if and only if λ is a root of the polynomial Ï(H)=âi=0m(â1)i|Mi|x(mâi)r, where |Mi| is the number of matchings of order i in H.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wei Zhang, Liying Kang, Erfang Shan, Yanqin Bai,