Posts tagged ‘undirected networks’

Projecting two-mode networks onto weighted one-mode networks

Projection of binary and weighted two-mode networks onto one-mode weighted networksThis post highlights a number of methods for projecting both binary and weighted two-mode networks (also known as affiliation or bipartite networks) onto weighted one-mode networks. Although I would prefer to analyse two-mode networks in their original form, few methods exist for that purpose. These networks can be transformed into one-mode networks by projecting them (i.e., selecting one set of nodes, and linking two nodes if they are connected to the same node of the other set). Traditionally, ties in the one-mode networks are without weights. By carefully considering multiple ways of projecting two-mode networks onto weighted one-mode networks, we can maintain some of the richness contained within the two-mode structure. This enables researchers to conduct a deeper analysis than if the two-mode structure was completely ignored.

The content of this post has been integrated in the tnet manual, see Projecting Two-mode Networks.

May 1, 2009 at 12:00 am 5 comments

Article: Clustering in Weighted Networks

TripletA paper called “Clustering in Weighted Networks” that I have co-authored will be published in Social Networks. Although many social network measures exist for binary networks and many theories differentiate between strong and weak ties, few measures have been generalised so that they can be applied to weighted networks and retain the information encoded in the weights of ties. One of these measures is the global clustering coefficient, which measures embeddedness or, more specifically, the likelihood of a triplet being closed by a tie so that it forms a triangle. This article proposes a generalisation of this key network measure to weighted networks.

Continue Reading April 3, 2009 at 12:00 am 7 comments

Article: Prominence and control: The weighted rich-club effect

A paper called Prominence and control: The weighted rich-club effect that I have co-authored was published in Physical Review Letters (PRL). In this paper, we proposed a new general framework for studying the tendency of prominent nodes to direct their strongest ties toward each other.

Continue Reading December 12, 2008 at 12:00 am 4 comments

Network? Weighted network?

social-network_weightedNetworks are the cornerstone of this blog, therefore I have decided to make the first post my definition of a network and a few basic network measures.

The content of this post has been integrated in the tnet manual.

November 28, 2008 at 12:00 am 3 comments

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