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math.SP2020
Spectra of chains connected to complete graphs
J. -G. Caputo, G. Cruz-Pacheco, A. Knippel +1
We characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvect…
math.SP2018
On graph Laplacian eigenvectors with components in {-1,0,1}
J-G. Caputo, I. Khames, A. Knippel
We characterize all graphs for which there are eigenvectors of the graph Laplacian having all their components in {-1,+1} or {-1,0,+ 1}. Graphs having eigenvectors with components…