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Network reachability of real-world contact sequencesby: Petter Holme
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AbstractWe use real-world contact sequences; time-ordered lists of contacts from one person to another; to study how fast information or disease can spread across network of contacts. Specifically we measure the reachability time - the average shortest time for a series of contacts to spread information between a reachable pair of vertices (a pair where a chain of contacts exists leading from one person to the other) - and the reachability ratio - the fraction of reachable vertex pairs. These measures are studied using conditional uniform graph tests. We conclude; among other things; that the network reachability depends much on a core where the path lengths are short and communication frequent; that clustering of the contacts of an edge in time tends to decrease the reachability; and that the order of the contacts really does make sense for dynamical spreading processes.
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