title: 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.
authors.affiliation: Dept of Mathematics, Faculty of El Engineering and Information Technology, Slovak Technical University, SK-842 48 Bratislava, Slovakia.
authors.forename: Boris
authors.initials: B
authors.lastname: Rudolf
authors.forename: Mária
authors.initials: M
authors.lastname: Markošová
authors.forename: Martin
authors.initials: M
authors.lastname: Čajági
authors.forename: Peter
authors.initials: P
authors.lastname: Tiňo