Spatial preferential attachment networks
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About this item
| Description: |
Morters, P (University of Bath)
Friday 15th July 2016 - 09:00 to 09:30 |
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| Created: | 2016-07-20 14:29 |
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| Collection: | Theoretical Foundations for Statistical Network Analysis |
| Publisher: | Isaac Newton Institute |
| Copyright: | Morters, P |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | 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.
Joint work with Emmanuel Jacob (ENS Lyon). |
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