title: Modulated scale-free network in Euclidean space.
abstract: A random network is grown by introducing at unit rate randomly selected nodes on the Euclidean space. A node is randomly connected to its ith predecessor of degree k(i) with a directed link of length l using a probability proportional to k(i)l(alpha). Our numerical study indicates that the network is scale free for all values of alpha>alpha(c) and the degree distribution decays stretched exponentially for the other values of alpha. The link length distribution follows a power law: D(l) approximately l(delta), where delta is calculated exactly for the whole range of values of alpha.
authors.affiliation: Satyendra Nath Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, Kolkata 700098, India. manna@boson.bose.res.in
authors.forename: S S
authors.initials: SS
authors.lastname: Manna
authors.forename: Parongama
authors.initials: P
authors.lastname: Sen