Research on Cascading Failure Model and Robustness of Weighted Interdependent Networks

Xu, Xueming; Qi, Gaoxin; Li, Jichao; Jiang, Jiang

doi:10.1109/sose55472.2022.9812636

Cited by 2 publications

(1 citation statement)

References 12 publications

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“…Since the introduction of the framework proposed by Buldyrev et al in 2010 [4], which analyzes the robustness of interdependent networks based on percolation theory, numerous studies have been conducted within this framework. However, most studies on the robustness of interdependent networks have focused on the one-to-one interdependence between the individual nodes [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. In the real world, some nodes always cooperate to form groups or cliques to enhance the system's robustness against risks.…”

Section: Introductionmentioning

confidence: 99%

Percolation in interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack

Zhang,

Liu,

Liu

et al. 2024

Phys. Scr.

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Pairwise dependencies in interdependent networks exist not only between ordinary nodes but also between groups of nodes, where nodes cooperate and form groups to increase their robustness to risks and each group can be considered a ``supernode''. The interdependencies between supernodes are universal but not always complete and homogeneous. \textcolor{red}{In this paper, we study the robustness of interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack, where the interdependency strength could vary between different supernodes.} We identify several types of percolation transitions, namely discontinuous, continuous, and hybrid, which are determined by the structure of the supernodes, the strengths of the interdependencies, and their distributions. We first apply this mathematical framework to the Erdös-Rényi and Scale-free interdependent networks with groups and homogeneous weak interdependency strength to calculate analytically and numerically the values of the phase transition thresholds and the critical interdependency strengths that distinguish different types of transitions. We then present examples of three distributions with different heterogeneous interdependency strengths. Our theoretical and numerical predictions are in close agreement, demonstrating that weaker interdependence strengths and higher levels of interdependence heterogeneity can enhance the robustness of interdependent networks under targeted attack.

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Section: Introductionmentioning

confidence: 99%

Percolation in interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack

Zhang,

Liu,

Liu

et al. 2024

Phys. Scr.

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Percolation transitions in partially edge-coupled interdependent networks with different group size distributions

Zhang,

Liu,

Liu

et al. 2024

Int. J. Mod. Phys. C

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In many systems, from brain neural networks to epidemic transmission networks, pairwise interactions are insufficient to express complex relationships. Nodes sometimes cooperate and form groups to increase their robustness to risks, and each such group can be considered a “supernode”. Furthermore, previous studies of cascading failures in interdependent networks have typically concentrated on node coupling connections; however, in many realistic scenarios, interactions occur between the edges connecting nodes rather than between the nodes themselves. Networks of this type are called edge-coupled interdependent networks. To better reflect complex networks in the real world, in this paper, we construct a theoretical model of a two-layer partially edge-coupled interdependent network with groups, where all nodes in the same group are functionally dependent on each other. We identify several types of phase transitions, namely, discontinuous, hybrid and continuous, which are determined by the strength of the dependency and the distribution of the supernodes. We first apply our developed mathematical framework to ErdsRnyi and scale-free partially edge-coupled interdependent networks with equally sized groups to analytically and numerically calculate the phase transition thresholds and the critical dependency strengths that distinguish different types of transitions. We then investigate the influence of the group size distribution on cascading failures by presenting examples of two different heterogeneous group size distributions. Our theoretical predictions and numerical findings are in close agreement, demonstrating that decreasing the dependency strength and increasing group size heterogeneity can increase the robustness of interdependent networks. Our results have significant implications for the design and optimization of network security and fill a knowledge gap in the robustness of partially edge-coupled interdependent networks with different group size distributions.

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Research on Cascading Failure Model and Robustness of Weighted Interdependent Networks

Cited by 2 publications

References 12 publications

Percolation in interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack

Percolation in interdependent networks with groups and heterogeneous weak interdependency strength under targeted attack

Percolation transitions in partially edge-coupled interdependent networks with different group size distributions

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