24 citations · 140 across the 20 of their papers we have counts for
4 papers · 2 filters
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…
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…
Most Laplacian eigenvalues of a tree are small
David P. Jacobs, Elismar R. Oliveira, Vilmar Trevisan
We show that the number of Laplacian eigenvalues greater than the average degree of a tree having vertices is at most .