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DTSTART;TZID=America/Los_Angeles:20190211T041500
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SUMMARY:Community structure in networks: the effect of communities on a preferential attachment model and epidemic spreading (Emily Fischer\, Cornell)
DESCRIPTION:Online social networks and other networks of interest are known to exhibit community structure\, where a community is defined to be a highly interconnected group of nodes with possibly shared traits or features. However\, classic network models\, such as the preferential attachment model\, do not account for community structure. In this talk\, I will present the Community-Aware Preferential Attachment Model (CAPAM)\, which allows the user to specify community structure via edge probabilities. I will show that CAPAM retains desirable properties of the preferential attachment model\, namely a power-law degree distribution\, and further that the multivariate degree distribution is dependent upon the edge probabilities in an interesting way. I will show that community structure also plays a role in epidemic spreading processes. Under the SIS model\, the lifetime of a spreading process is constrained by the structure of the individual communities\, and the epidemic threshold is bounded closely around the threshold associated with the strongest community.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-emily-fisher/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
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