24 citations · 140 across the 20 of their papers we have counts for
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Energies of Hypergraphs
Kauê Cardoso, Vilmar Trevisan
In this paper, we study energies associated with hypergraphs. More precisely, we obtain results for the incidence and the singless Laplacian energies of uniform hypergraphs. In par…
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…
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…
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…
Null Decomposition of Unicyclic Graphs
Luiz Emilio Allem, Daniel Alejandro Jaume, Gonzalo Molina +2
In this work we obtain basis for the null space of unicyclic graphs. We extend the null decomposition of trees from [11] for unicyclic graphs. As an application, we obtain closed f…
Independence and Matching Numbers of Unicyclic Graphs From Null Space
Luiz Emilio Allem, Daniel Alejandro Jaume, Gonzalo Molina +2
We characterize unicyclic graphs that are singular using the support of the null space of their pendant trees. From this, we obtain closed formulas for the independence and matchin…