Communities and classes in symmetric fractals
Computational Physics
2015-06-19 v2
Abstract
Two aspects of fractal networks are considered: the community structure and the class structure, where classes of nodes appear as a consequence of a local symmetry of nodes. The analysed systems are the networks constructed for two selected symmetric fractals: the Sierpinski triangle and the Koch curve. Communities are searched for by means of a set of differential equations. Overlapping nodes which belong to two different communities are identified by adding some noise to the initial connectivity matrix. Then, a node can be characterized by a spectrum of probabilities of belonging to different communities. Our main goal is that the overlapping nodes with the same spectra belong to the same class.
Cite
@article{arxiv.1404.7416,
title = {Communities and classes in symmetric fractals},
author = {M. J. Krawczyk},
journal= {arXiv preprint arXiv:1404.7416},
year = {2015}
}