We present a new local method for checking the stability of a matrix when the matrix is viewed as a weighted directed graph. The method involves checking only the cycles of the graph, and can be applied to the companion matrix of a network to check stability of the network. The paper concludes with some applications of the method for checking network stability
This paper investigates the impact of addition/removal/reweighting of edges in a complex networked l...
This letter investigates networks of interconnected systems and introduces the notion of “scalable i...
Communicated by A.P. Fordy Since the Laplacian matrices of weighted networks usually have complex ei...
In this work we are interested in the stability bifurcations of the dynamical systems defined on gra...
AbstractThis paper presents a self-stabilizing algorithm for detecting a set of fundamental cycles o...
If a system, such as a communication network is modelled by graph G, the deterministic measures tend...
DC operating points of a linearized noninertial network can be, according to the character of their ...
This paper studies interconnected systems (nodes) and exploits dissipation inequalities and the stru...
The need to build a link between the structure of a complex network and the dy-namical properties of...
Networks are known to be prone to node or link failures. A central issue in the analysis of networks...
The integrity of a graph G = (V; E) is dened as I(G) = minfjSj + m(G S) : S V (G)g, where m(G X) ...
The vulnerability value of a communication network shows the resistance of the network after the dis...
The paper presents conditions for the stability of a dynamical network described by a directed graph...
Network robustness research aims at finding a measure to quantify network robustness. Once such a me...
In a previous work, the authors have introduced an upper bound on the stability number of a graph an...
This paper investigates the impact of addition/removal/reweighting of edges in a complex networked l...
This letter investigates networks of interconnected systems and introduces the notion of “scalable i...
Communicated by A.P. Fordy Since the Laplacian matrices of weighted networks usually have complex ei...
In this work we are interested in the stability bifurcations of the dynamical systems defined on gra...
AbstractThis paper presents a self-stabilizing algorithm for detecting a set of fundamental cycles o...
If a system, such as a communication network is modelled by graph G, the deterministic measures tend...
DC operating points of a linearized noninertial network can be, according to the character of their ...
This paper studies interconnected systems (nodes) and exploits dissipation inequalities and the stru...
The need to build a link between the structure of a complex network and the dy-namical properties of...
Networks are known to be prone to node or link failures. A central issue in the analysis of networks...
The integrity of a graph G = (V; E) is dened as I(G) = minfjSj + m(G S) : S V (G)g, where m(G X) ...
The vulnerability value of a communication network shows the resistance of the network after the dis...
The paper presents conditions for the stability of a dynamical network described by a directed graph...
Network robustness research aims at finding a measure to quantify network robustness. Once such a me...
In a previous work, the authors have introduced an upper bound on the stability number of a graph an...
This paper investigates the impact of addition/removal/reweighting of edges in a complex networked l...
This letter investigates networks of interconnected systems and introduces the notion of “scalable i...
Communicated by A.P. Fordy Since the Laplacian matrices of weighted networks usually have complex ei...