On March Thursday 25 at 16:00, prof. Tiandong Wang (Texas A&M) will give a virtual seminar “in Florence”, to which you are all invited. You can find title and abstract below.
Title: Reciprocity in a Preferential Attachment Network
Abstract:
Empirical studies show that online social networks have not only in-
and out-degree distributions with Pareto-like tails, but also a high proportion
of reciprocal edges. A classical directed preferential attachment (PA) model
generates in- and out-degree distribution with power-law tails, but theoretical
properties of the reciprocity feature in this model have not yet been studied.
We derive the asymptotic results on the number of reciprocal edges between
two fixed nodes, as well as the proportion of reciprocal edges in the entire
PA network. We see that with certain choices of parameters, the proportion
of reciprocal edges in a directed PA network is close to 0, which differs from
the empirical observation. This points out one potential problem of fitting
a classical PA model to a given network dataset with high reciprocity, and
indicates alternative models need to be considered.
The seminar will be on Zoom. You can find the information to join below.
Topic: Tiandong Wang - Reciprocity in a Preferential Attachment Network
Time: Mar 25, 2021 04:00 PM Rome
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