Liying Kang, Lele Liu, Liqun Qi, Xiying Yuan
Published 2016-05-03Version 1
Let A(G) be the adjacency tensor (hypermatrix) of uniform hypergraph G. The maximum modulus of the eigenvalues of A(G) is called the spectral radius of G. In this paper, the conjecture of Fan et al. in [5] related to compare the spectral radii of some three uniform hypergraphs is solved. Moreover, some eigenvalues properties of a kind of uniform hypergraphs are obtained.
A Bound on the Spectral Radius of Hypergraphs with $e$ Edges
On the irregularity of uniform hypergraphs
On the principal eigenvectors of uniform hypergraphs
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