The shortest distance in random multi-type intersection graphs

Mathematics – Probability

Scientific paper

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32 pages

Scientific paper

Using an associated branching process as the basis of our approximation, we
show that typical inter-point distances in a multitype random intersection
graph have a defective distribution, which is well described by a mixture of
translated and scaled Gumbel distributions, the missing mass corresponding to
the event that the vertices are not in the same component of the graph.

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