Analysis of relative influence of nodes in directed networks

Physics – Physics and Society

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

9 figures

Scientific paper

10.1103/PhysRevE.80.046114

Many complex networks are described by directed links; in such networks, a link represents, for example, the control of one node over the other node or unidirectional information flows. Some centrality measures are used to determine the relative importance of nodes specifically in directed networks. We analyze such a centrality measure called the influence. The influence represents the importance of nodes in various dynamics such as synchronization, evolutionary dynamics, random walk, and social dynamics. We analytically calculate the influence in various networks, including directed multipartite networks and a directed version of the Watts-Strogatz small-world network. The global properties of networks such as hierarchy and position of shortcuts, rather than local properties of the nodes, such as the degree, are shown to be the chief determinants of the influence of nodes in many cases. The developed method is also applicable to the calculation of the PageRank. We also numerically show that in a coupled oscillator system, the threshold for entrainment by a pacemaker is low when the pacemaker is placed on influential nodes. For a type of random network, the analytically derived threshold is approximately equal to the inverse of the influence. We numerically show that this relationship also holds true in a random scale-free network and a neural network.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Analysis of relative influence of nodes in directed networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analysis of relative influence of nodes in directed networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis of relative influence of nodes in directed networks will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-27068

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.