Identifying an influential spreader from a single seed in complex networks via a message-passing approach
Min, Byungjoon
European Physical Journal B 91, 18 (1-6) (2018)
European Physical Journal B 91, 18 (1-6) (2018)
Identifying the most influential spreaders is one of outstanding problems
in physics of complex systems. So far, many approaches have attempted to rank
the influence of nodes but there is still the lack of accuracy to single
out influential spreaders. Here, we directly tackle the problem of finding
important spreaders by solving analytically the expected size of epidemic
outbreaks when spreading originates from a single seed. We derive and
validate a theory for calculating the size of epidemic outbreaks with a single
seed using a message-passing approach. In addition, we find that the probability
to occur epidemic outbreaks is highly dependent on the location of the seed
but the size of epidemic outbreaks once it occurs is insensitive to the seed.
We also show that our approach can be successfully adapted into weighted networks.
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