Title
Emerging communities in networks - a flow of ties
Abstract
Algorithms for search of communities in networks usually consist discrete variations of links. Here we discuss a flow method, driven by a set of differential equations. Two examples are demonstrated in detail. First is a partition of a signed graph into two parts, where the proposed equations are interpreted in terms of removal of a cognitive dissonance by agents placed in the network nodes. There, the signs and values of links refer to positive or negative interpersonal relationships of different strength. Second is an application of a method akin to the previous one, dedicated to communities identification, to the Sierpinski triangle of finite size. During the time evolution, the related graphs are weighted; yet at the end the discrete character of links is restored. In the case of the Sierpinski triangle, the method is supplemented by adding a small noise to the initial connectivity matrix. By breaking the symmetry of the network, this allows to a successful handling of overlapping nodes.
Year
DOI
Venue
2015
10.5506/APhysPolB.46.911
CoRR
Field
DocType
Volume
Quantum electrodynamics,Flow (psychology),Theoretical physics,Artificial intelligence,Physics
Journal
abs/1505.06295
Issue
ISSN
Citations 
5
Acta Phys. Pol. B 46 (2015) 911
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Przemysław Gawroński1143.63
M. J. Krawczyk222.79
Krzysztof Kułakowski33713.14