Networks with arbitrary edge multiplicities

Details Networks with arbitrary edge multiplicities Networks with arbitrary edge multiplicities

2011-01-12

arxiv.org/abs/1101.2435v2

EPL 97, 28005 (2012)

Physics

Physics and Society

Scientific paper

10.1209/0295-5075/97/28005

One of the main characteristics of real-world networks is their large clustering. Clustering is one aspect of a more general but much less studied structural organization of networks, i.e. edge multiplicity, defined as the number of triangles in which edges, rather than vertices, participate. Here we show that the multiplicity distribution of real networks is in many cases scale-free, and in general very broad. Thus, besides the fact that in real networks the number of edges attached to vertices often has a scale-free distribution, we find that the number of triangles attached to edges can have a scale-free distribution as well. We show that current models, even when they generate clustered networks, systematically fail to reproduce the observed multiplicity distributions. We therefore propose a generalized model that can reproduce networks with arbitrary distributions of vertex degrees and edge multiplicities, and study many of its properties analytically.

Affiliated with

Also associated with

No associations

Rating

Networks with arbitrary edge multiplicities 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 Networks with arbitrary edge multiplicities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Networks with arbitrary edge multiplicities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65341