7 papers
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…
Network connectivity analysis via shortest paths
Silvia Noschese, Lothar Reichel
Complex systems of interacting components often can be modeled by a simple graph that consists of a set of nodes and a set of edges. Such a graph can be repre…
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…
Edge Importance in Complex Networks
Silvia Noschese, Lothar Reichel
Complex networks are made up of vertices and edges. The latter connect the vertices. There are several ways to measure the importance of the vertices, e.g., by counting the number…
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…
Network analysis with the aid of the path length matrix
Silvia Noschese, Lothar Reichel
Let a network be represented by a simple graph with vertices. A common approach to investigate properties of a network is to use the adjacency matrix $A=[a_{ij}]_…
A tensor formalism for multilayer network centrality measures using the Einstein product
Smahane El-Halouy, Silvia Noschese, Lothar Reichel
Complex systems that consist of different kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Ein…