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- W4386582711 abstract "We investigate certain structural properties of random interdependent networks. We start by studying a property known as $r$-robustness, which is a strong indicator of the ability of a network to tolerate structural perturbations and dynamical attacks. We show that random $k$-partite graphs exhibit a threshold for $r$-robustness, and that this threshold is the same as the one for the graph to have minimum degree $r$. We then extend this characterization to random interdependent networks with arbitrary intra-layer topologies. Finally, we characterize the algebraic connectivity of such networks, and provide an asymptotically tight rate of growth of this quantity for a certain range of inter-layer edge formation probabilities. Our results arise from a characterization of the isoperimetric constant of random interdependent networks, and yield new insights into the structure and robustness properties of such networks." @default.
- W4386582711 created "2023-09-11" @default.
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- W4386582711 date "2015-08-14" @default.
- W4386582711 modified "2023-09-29" @default.
- W4386582711 title "Robustness and Algebraic Connectivity of Random Interdependent Networks" @default.
- W4386582711 doi "https://doi.org/10.48550/arxiv.1508.03650" @default.
- W4386582711 hasPublicationYear "2015" @default.
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