Sam Spencer
Abstract
Here we examine the problem of rumor source identification in line graphs. We assume the SI model for rumor propagation with exponential waiting times. We consider the case where a rumor originates from two sources simultaneously, and evaluate the likelihood function for the given observations given those sources. As the size of the infected region grows arbitrarily large, we show that unlike the single source case, where the likelihood function concentrates near the midpoint of the infected region, the support of the likelihood function in this case remains widely distributed over the middle half of the infected region. This makes the rumor sources impossible to localize with high probability on any scale smaller than that of the infection size itself.
- G. Fanti, P. Kairouz, S. Oh, and P. Viswanath. Spy vs. spy: Rumor source obfuscation. In Proceedings of the 15th ACM SIGMETRICS/PERFORMANCE Joint International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS '15, to appear, 2015. Google Scholar
Digital Library
- D. Shah and T. Zaman. Rumor centrality: A universal source detector. In Proceedings of the 12th ACM SIGMETRICS/PERFORMANCE Joint International Conference on Measurement and Modeling of Computer Systems, SIGMETRICS '12, pages 199-=-210, New York, NY, USA, 2012. ACM. Google ScholarDigital Library
- K. Zhu and L. Ying. Information source detection in the sir model: A sample path based approach. In Information Theory and Applications Workshop (ITA), 2013, pages 1--9, Feb 2013.Google Scholar
Index Terms
- On the Impossibility of Localizing Multiple Rumor Sources in a Line Graph
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