The size of the largest component below phase transition in inhomogeneous random graphs

Details The size of the largest component below phase transition in inhomogeneous random graphs The size of the largest component below phase transition in inhomogeneous random graphs

2007-06-14

arxiv.org/abs/0706.2106v1

Mathematics

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23 pages

Scientific paper

We study the "rank 1 case" of the inhomogeneous random graph model. In the
subcritical case we derive an exact formula for the asymptotic size of the
largest connected component scaled to log n. This result is new, it completes
the corresponding known result in the supercritical case. We provide some
examples of application of a new formula.

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