Theoretical and Computational Studies of Tipping Points and Community Detection in Social Networks (Research Area 4.3.3)
Technical Report,14 Sep 2012,13 Sep 2015
Rensselaer Polytechnic Institute Troy United States
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The work proposed has been completed with the following major conclusions in the context of an idealized model for social interaction 1 the Tipping fraction for rapid consensus of committed minority opinion drops from 9.8 percent for complete graphs to 5 for regular degree 4 graphs, and also when the number of initial opinions is large. An important class of 2-Urns models were solved exactly by diagonalization of an infinite family of banded matrices to support this work but is of independent theoretical interests.
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