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SUMMARY:Spatial preferential attachment networks - Peter Morters (Universi
 ty of Bath)
DTSTART:20160715T080000Z
DTEND:20160715T083000Z
UID:TALK66769@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We study a family of growing networks\, in which new vertices 
 are given a spatial position on the unit circle and are connected to exist
 ing vertices with a probability favouring short spatial distances and high
  degrees. In this model of a scale-free network with clustering we can ind
 ependently tune the power law exponent &tau\; of the degree distribution a
 nd the exponent &delta\; at which the connection probability decreases wit
 h the distance of two vertices. We show that the network is robust if &tau
 \; < 2 + 1/&delta\;\, but fails to be robust if &tau\; > 2 + 1/(&delta\;&m
 inus\;1). This is the first instance of a scale-free network where robustn
 ess depends not only on its degree distribution but also on its clustering
  features.&nbsp\;<br><br>Joint work with Emmanuel Jacob (ENS Lyon).<br>
LOCATION:Seminar Room 1\, Newton Institute
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