Abstract
We consider a conditionally Poisson random-graph model in which the mean degrees, "capacities," follow a power-tail distribution with finite mean and infinite variance. Such a graph of size _N_ has a giant component that is supersmall in the sense that the typical distance between vertices is of order log log _N_. The shortest paths travel through a core consisting of nodes with high mean degrees. In this paper we derive upper bounds for the distance between two random vertices when an upper part of the core is removed, including the case that the whole core is removed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have