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math.CO2023
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…
math.CO2023
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)…