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- W2102456179 abstract "In this paper, we derive theoretical bounds for the long-term influence of a node in an Independent Cascade Model (ICM). We relate these bounds to the spectral radius of a particular matrix and show that the behavior is sub-critical when this spectral radius is lower than $1$. More specifically, we point out that, in general networks, the sub-critical regime behaves in $O(sqrt{n})$ where $n$ is the size of the network, and that this upper bound is met for star-shaped networks. We apply our results to epidemiology and percolation on arbitrary networks, and derive a bound for the critical value beyond which a giant connected component arises. Finally, we show empirically the tightness of our bounds for a large family of networks." @default.
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- W2102456179 date "2014-07-17" @default.
- W2102456179 modified "2023-09-25" @default.
- W2102456179 title "Tight Bounds for Influence in Diffusion Networks and Application to Bond Percolation and Epidemiology" @default.
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