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20202025
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math.NA2025

Sensitivity of Perron and Fiedler eigenpairs to structural perturbations of a network

Silvia Noschese, Lothar Reichel

One can estimate the change of the Perron and Fiedler values for a connected network when the weight of an edge is perturbed by analyzing relevant entries of the Perron and Fiedler…

math.NA2024

Communication in Multiplex Transportation Networks

Silvia Noschese, Lothar Reichel

Complex networks are made up of vertices and edges. The edges, which may be directed or undirected, are equipped with positive weights. Modeling complex systems that consist of dif…

math.NA2023

Enhancing multiplex global efficiency

Silvia Noschese, Lothar Reichel

Modeling complex systems that consist of different types of objects leads to multilayer networks, in which vertices are connected by both inter-layer and intra-layer edges. In this…

math.NA2022

On the banded Toeplitz structured distance to symmetric positive semidefiniteness

Silvia Noschese, Lothar Reichel

This paper is concerned with the determination of a close real banded positive definite Toeplitz matrix in the Frobenius norm to a given square real banded matrix. While it is stra…

math.NA2021

Communication in Complex Networks

Omar De la Cruz Cabrera, Jiafeng Jin, Silvia Noschese +1

One of the properties of interest in the analysis of networks is \emph{global communicability}, i.e., how easy or difficult it is, generally, to reach nodes from other nodes by fol…

math.NA2021

Estimating and increasing the structural robustness of a network

Silvia Noschese, Lothar Reichel

The capability of a network to cope with threats and survive attacks is referred to as its robustness. This paper discusses one kind of robustness, commonly denoted structural robu…