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math.SP2019
The Signless Laplacian Matrix of Hypergraphs
Kauê Cardoso, Vilmar Trevisan
In this paper we define signless Laplacian matrix of a hypergraph and obtain structural properties from its eigenvalues. We generalize several known results for graphs, relating th…
math.SP2019
Principal eigenvectors of general hypergraphs
Kauê Cardoso, Vilmar Trevisan
In this paper we obtain bounds for the extreme entries of the principal eigenvector of hypergraphs; these bounds are computed using the spectral radius and some classical parameter…
math.SP2019
The spectrum of a class of uniform hypergraphs
Kauê Cardoso, Carlos Hoppen, Vilmar Trevisan
A generalized power hypergraph is obtained from a base hypergraph by means of some simple edge-expansion operations. Kang, Liu, Qi and Yuan [8] prov…