Output details

Degree distribution of large networks generated by the partial duplication model

<28> Topological properties are useful to understand the evolutionary mechanisms responsible for shaping current biological networks. We study the degree distribution of networks generated by the partial duplication model that is used for modelling protein-protein interactions. We prove the existence of limiting degree distribution, establish the phase transition for the expected proportion of isolated nodes, and clarify the existence or the lack of power- law for the subgraphs consisting of non-isolated nodes. As well as providing answers to several open problems, these results enable us to infer growth parameters and choose appropriate simulation models for biological networks.