On the continuous-time limit of the Barab\'asi-Albert random graph

Angelica Pachon; Federico Polito; Laura Sacerdote

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arXiv · 1607.04183

On the continuous-time limit of the Barab\'asi-Albert random graph

Angelica Pachon·Federico Polito·Laura Sacerdote

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Abstract

We prove that the Barab\'asi-Albert model converges weakly to a set of generalized Yule models via an appropriate scaling. To pursue this aim we superimpose to its graph structure a suitable set of processes that we call the planted model and we introduce an ad-hoc sampling procedure. The use of the obtained limit process represents an alternative and advantageous way of looking at some of the asymptotic properties of the Barab\'asi-Albert random graph.

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Angelica Pachon, Federico Polito, Laura Sacerdote. 2016-07-14. On the continuous-time limit of the Barab\'asi-Albert random graph. https://arxiv.org/abs/1607.04183

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