Image Database Export Citations


Trees = Networks?

Show full item record

Type: Working Paper
Author: da Fontoura Costa, Luciano; Rodrigues, Francisco A.
Date: 2008
URI: https://hdl.handle.net/10535/3703
Sector: Theory
Subject(s): complex systems
Abstract: "This work addresses the intrinsic relationship between trees and networks (i.e. graphs). A complete (invertible) mapping is presented which allows trees to be mapped into weighted graphs and then backmapped into the original tree without loss of information. The extension of this methodology to more general networks, including unweighted structures, is also discussed and illustrated. It is shown that the identified duality between trees and graphs underlies several key concepts and issues of current interest in complex networks, including comprehensive characterization of trees and community detection. For instance, additional information about tree structures (e.g. phylogenetic trees) can be immediately obtained by taking into account several off-the-shelf network measurements--such as the clustering coefficient, degree correlations and betweenness centrality. At the same time, the hierarchical structure of networks, including the respective communities, becomes clear when the network is represented in terms of the respective tree. Indeed, the network-tree mapping described in this work provides a simple and yet effective means of community detection."

Files in this item

Files Size Format View
treenet.pdf 818.8Kb PDF View/Open

This item appears in the following document type(s)

Show full item record