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math.CO2025
Spectral properties of the deformed Laplacian matrix of trees and H-join graphs
Roberto C. Díaz, Elismar R. Oliveira, Vilmar Trevisan
This paper investigates spectral properties of the deformed Laplacian matrix, which merges the Laplacian and signless Laplacian matrices of a graph through a one-parameter family o…
math.CO2023
New results about the Inverse Eigenvalue Problem of a Graph
Roberto C. Díaz, Ana I. Julio
All graphs considered are simple and undirected. The Inverse Eigenvalue Problem of a Graph (IEP-G) aims to find all possible spectra for matrices whose entry, for $i\ne…