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arXiv · 1511.07893

Numerical Investigation of Metrics for Epidemic Processes on Graphs

Max Goering·Faryad Darabi Sahneh·Nathan Albin·Caterina Scoglio·Pietro Poggi-Corradini
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Abstract

This study develops the epidemic hitting time (EHT) metric on graphs measuring the expected time an epidemic starting at node $a$ in a fully susceptible network takes to propagate and reach node $b$. An associated EHT centrality measure is then compared to degree, betweenness, spectral, and effective resistance centrality measures through exhaustive numerical simulations on several real-world network data-sets. We find two surprising observations: first, EHT centrality is highly correlated with effective resistance centrality; second, the EHT centrality measure is much more delocalized compared to degree and spectral centrality, highlighting the role of peripheral nodes in epidemic spreading on graphs.

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Max Goering, Faryad Darabi Sahneh, Nathan Albin, Caterina Scoglio, Pietro Poggi-Corradini. 2015-11-24. Numerical Investigation of Metrics for Epidemic Processes on Graphs. https://arxiv.org/abs/1511.07893

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