Shortest path discovery of complex networks.
In this Rapid Communication we present an analytic study of sampled networks in the case of some important shortest-path sampling models. We present analytic formulas for the probability of edge discovery in the case of an evolving and a static network model. We also show that the number of discovered edges in a finite network scales much more slowly than predicted by earlier mean-field models. Finally, we calculate the degree distribution of sampled networks and we demonstrate that they are analogous to a destroyed network obtained by randomly removing edges from the original network.
Fekete
Attila
A
Department of Physics of Complex Systems, Eötvös University, Pázmány P. sétány 1/A., H-1117 Budapest, Hungary. fekete@complex.elte.hu
Vattay
Gábor
G
Pósfai
Márton
M