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arXiv · 1001.5357

The shortest distance in random multi-type intersection graphs

A. D. Barbour·G. Reinert
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Abstract

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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A. D. Barbour, G. Reinert. 2010-01-29. The shortest distance in random multi-type intersection graphs. https://arxiv.org/abs/1001.5357

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