Degree distribution and scaling in the connecting-nearest-neighbors model

Abstract

We present a detailed analysis of the connecting-nearest-neighbors model by Vázquez [Phys. Rev. E 67, 056104 (2003)]. We show that the degree distribution follows a power law, but the scaling exponent can vary with the parameter setting. Moreover, the correspondence of the growing version of the connecting-nearest-neighbors model to the particular random walk model and recursive search model is established.