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arXiv · 2003.04965

The diameter of the directed configuration model

Xing Shi Cai·Guillem Perarnau
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Abstract

We show that the diameter of the directed configuration model with $n$ vertices rescaled by $\log n$ converges in probability to a constant. Our assumptions are the convergence of the in- and out-degree of a uniform random vertex in distribution, first and second moment. Our result extends previous results on the diameter of the model and applies to many other random directed graphs.

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Xing Shi Cai, Guillem Perarnau. 2020-03-10. The diameter of the directed configuration model. https://arxiv.org/abs/2003.04965

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