Multi-scaling Networks from Vertex Intrinsic Fitness

Defining and detecting the community structure is an important topic on exploring the complex networks.Previous works were mostly based on the so-called modularity method,in which vertices that interconnect to each otherform modules in the network.In many real-world networks,however,vertices are grouped not by their connectivity butby their functions.To demonstrate this idea,we propose a new kind of network,in which the vertices are cataloguedinto several types and are assigned intrinsic fitness.Each type of vertices may satisfy a different fitness distribution.It isfound that the whole network exhibits a multi-scaling degree distribution.The clustering coefficients of the subnetworksare modified by the interlinks between vertices in the subnetworks.