Posts tagged ‘complex networks’

Weighted local clustering coefficient

TripletThe generalisation of the local clustering coefficient to weighted networks by Barrat et al. (2004) considers the value of a triplet to be the average of the weights attached to the two ties that make up the triplet. In this post, I suggest three additional methods for defining the triplet value.
 
 

The content of this post has been integrated in the tnet manual, see Clustering in Weighted Networks.

January 23, 2009 at 12:00 am 1 comment

Average shortest distance in weighted networks

Distance between nodesThe average distance that separate nodes in a network became a famous measure following Milgram’s six-degrees of separation experiment in 1967 that found that people in the US were on average 6-steps from each other. This post proposes a generalisation of this measure to weighted networks by building on work by Dijkstra (1959) and Newman (2001).

The content of this post has been integrated in the tnet manual, see Shortest Paths in Weighted Networks.

January 9, 2009 at 12:00 am 8 comments

Local weighted rich-club measure

This post proposes a local (node-level) version of the Weighted Rich-club Effect (PRL 101, 168702). By incorporating this measure into a regression analysis, the impact of targeting efforts towards prominent nodes on performance can be studied.

The content of this post has been integrated in the tnet manual, see The Weighted Rich-club Effect.

December 26, 2008 at 12:31 am 1 comment

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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