Birth of a strongly connected giant in an inhomogeneous random digraph

Details Birth of a strongly connected giant in an inhomogeneous random digraph Birth of a strongly connected giant in an inhomogeneous random digraph

2009-11-16

arxiv.org/abs/0911.3013v1

Mathematics

Probability

10 pages

Scientific paper

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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