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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Spatial preferential attachment networks

## Spatial preferential attachment networksAdd to your list(s) Download to your calendar using vCal - Peter Morters (University of Bath)
- Friday 15 July 2016, 09:00-09:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. SNAW01 - Graph limits and statistics We study a family of growing networks, in which new vertices are given a spatial position on the unit circle and are connected to existing vertices with a probability favouring short spatial distances and high degrees. In this model of a scale-free network with clustering we can independently tune the power law exponent τ of the degree distribution and the exponent δ at which the connection probability decreases with the distance of two vertices. We show that the network is robust if τ < 2 1/δ, but fails to be robust if τ > 2 1/(δ−1). This is the first instance of a scale-free network where robustness depends not only on its degree distribution but also on its clustering features. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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