Post-Processing Hierarchical Community Structures: Quality Improvements and Multi-scale View
Abstract
Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algorithms produce a hierarchical structure of community and seek a partition into communities that optimizes a given quality function. We propose new methods to improve the results of any of these algorithms. First we show how to optimize a general class of additive quality functions (containing the modularity, the performance, and a new similarity based quality function we propose) over a larger set of partitions than the classical methods. Moreover, we define new multi-scale quality functions which make it possible to detect the different scales at which meaningful community structures appear, while classical approaches find only one partition.
Cite
@article{arxiv.cs/0608050,
title = {Post-Processing Hierarchical Community Structures: Quality Improvements and Multi-scale View},
author = {Pascal Pons and Matthieu Latapy},
journal= {arXiv preprint arXiv:cs/0608050},
year = {2021}
}