24 citations · 140 across the 20 of their papers we have counts for
21 papers · 1 filter
An interlacing property of the signless Laplacian of threshold graphs
Christoph Helmberg, Guilherme Porto, Guilherme Torres +1
We show that for threshold graphs, the eigenvalues of the signless Laplacian matrix interlace with the degrees of the vertices. As an application, we show that the signless Brouwer…
Diminimal families of arbitrary diameter
Luiz Emilio Allem, Rodrigo Orsini Braga, Carlos Hoppen +3
Given a tree , let be the minimum number of distinct eigenvalues in a symmetric matrix whose underlying graph is . It is well known that , where $d(T)…
Characterization of digraphs with three complementarity eigenvalues
Diego Bravo, Florencia Cubría, Marcelo Fiori +1
Given a digraph D, the complementarity spectrum of the digraph is defined as the set of complementarity eigenvalues of its adjacency matrix. This complementarity spectrum has been…
Complementarity spectrum of digraphs
Diego Bravo, Florencia Cubría, Marcelo Fiori +1
In this paper we study the complementarity spectrum of digraphs, with special attention to the problem of digraph characterization through this complementarity spectrum. That is, w…
Adjacency Energy of Hypergraphs
Kauê Cardoso, Renata Del-Vecchio, Lucas Portugal +1
In this paper, we define and obtain several properties of the (adjacency) energy of a hypergraph. In particular, bounds for this energy are obtained as functions of structural and…
Applications of rational difference equations to spectral graph theory: expanded version
Elismar R. Oliveira, Vilmar Trevisan
We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical prope…