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Title	The emergence of the giant component in random graphs on the hyperbolic plane
Creator	Fountoulakis, Nikolaos
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-11-08T10:31
Description	We consider a recent model of random geometric graphs on the hyperbolic plane developed by Krioukov et al. (Phys. Rev. E 2010). This may be also viewed as a geometric version of the well- known Chung-Lu model of inhomogeneous random graphs and turns out to have basic properties that are ubiquitous in complex networks. We consider the size of the largest component of this random graph and show that a giant component emerges when the basic parameters of the model cross certain values. We also show that the fraction of vertices that are contained there converges in probability to a certain constant, which is related to a continuum percolation model on the upper-half plane. This is joint work with Tobias Müller and Michel Bode.
Extent	30 minutes
Subject	Mathematics Combinatorics Probability theory and stochastic processes
Geographic Location	Banff (Alta.)
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Birmingham
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347364
URI	http://hdl.handle.net/2429/61567
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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