Birth of a strongly connected giant in an inhomogeneous random digraph

M. Bloznelis; F. Götze; J. Jaworski

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arXiv · 0911.3013

Birth of a strongly connected giant in an inhomogeneous random digraph

M. Bloznelis·F. Götze·J. Jaworski

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Abstract

We present and investigate a general model for inhomogeneous random digraphs with labeled vertices, where the arcs are generated independently, and the probability of inserting an arc depends on the labels of its endpoints and its orientation. For this model the critical point for the emergence of a giant component is determined via a branching process approach.

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M. Bloznelis, F. Götze, J. Jaworski. 2009-11-16. Birth of a strongly connected giant in an inhomogeneous random digraph. https://arxiv.org/abs/0911.3013

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