Abstract
In complex systems, responses to small perturbations are too diverse to definitely predict how much they would be, and then such diverse responses can be predicted in a probabilistic way. Here we study such a problem in scale-free networks, for example, the diameter changes by the deletion of a single vertex for various in silico and real-world scale-free networks. We find that the diameter changes are indeed diverse and their distribution exhibits an algebraic decay with an exponent asymptotically. Interestingly, the exponent is robust as for most scale-free networks and insensitive to the degree exponents as long as . However, there is another type with and its examples include the Internet and its related in silico model.
- Received 5 December 2002
DOI:https://doi.org/10.1103/PhysRevLett.91.058701
©2003 American Physical Society