Line Graphs of Weighted Networks for Overlapping Communities

Autor:	Evans, T. S., Lambiotte, R.
Rok vydání:	2009
Předmět:	Physics - Data Analysis Statistics and Probability Computer Science - Data Structures and Algorithms Physics - Physics and Society
Zdroj:	Eur. Phys. J. B 77 (2010) 265-272
Druh dokumentu:	Working Paper
DOI:	10.1140/epjb/e2010-00261-8
Popis:	In this paper, we develop the idea to partition the edges of a weighted graph in order to uncover overlapping communities of its nodes. Our approach is based on the construction of different types of weighted line graphs, i.e. graphs whose nodes are the links of the original graph, that encapsulate differently the relations between the edges. Weighted line graphs are argued to provide an alternative, valuable representation of the system's topology, and are shown to have important applications in community detection, as the usual node partition of a line graph naturally leads to an edge partition of the original graph. This identification allows us to use traditional partitioning methods in order to address the long-standing problem of the detection of overlapping communities. We apply it to the analysis of different social and geographical networks. Comment: 8 Pages. New title and text revisions to emphasise differences from earlier papers
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0912.4389 Zobrazit plný text záznamu View this record from Arxiv