Unveiling community structures in weighted networks
Physics and Society
2007-09-20 v1 Statistical Mechanics
Data Analysis, Statistics and Probability
Abstract
Random walks on simple graphs in connection with electrical resistor networks lead to the definition of Markov chains with transition probability matrix in terms of electrical conductances. We extend this definition to an effective transition matrix to account for the probability of going from vertex to any vertex of the original connected graph . Also, we present an algorithm based on the definition of this effective transition matrix among vertices in the network to extract a topological feature related to the manner graph has been organized. This topological feature corresponds to the communities in the graph.
Cite
@article{arxiv.physics/0703087,
title = {Unveiling community structures in weighted networks},
author = {Nelson Augusto Alves},
journal= {arXiv preprint arXiv:physics/0703087},
year = {2007}
}