2 papers
math.DS2024
On the Eigenvalues of Graphs with Mixed Algebraic Structure
Riccardo Bonetto, Hildeberto Jardón Kojakhmetov
We study some spectral properties of a matrix that is constructed as a combination of a Laplacian and an adjacency matrix of simple graphs. The matrix considered depends on a posit…
math.DS2022
Nonlinear Diffusion on Networks: Perturbations and Consensus Dynamics
Riccardo Bonetto, Hildeberto Jardón Kojakhmetov
In this paper, we study a class of equations representing nonlinear diffusion on networks. A particular instance of our model can be seen as a network equivalent of the porous-medi…