A Geometric Preferential Attachment Model of Networks

A Geometric Preferential Attachment Model of Networks

We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, x2, . . . , xn chosen uniformly at random from the unit sphere in R . After generating xt, we randomly connect it to m points from those points in x1, x2, . . . , xt−1 which are within distance r. Neighbors are chosen ...

A Geometric Preferential Attachment Model of Networks II

We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distribution where the expansion property depends on a tunable parameter of the model. The vertices of Gn are n sequentially generated points x1, x2, . . . , xn chosen uniformly at random from the unit sphere in R. After generati...

Stochastic Geometric Fractal Growth Model: An Alternative of Preferential Attachment

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

A preferential attachment model for primate social networks

Wildlife monitoring is an enormous organizational challenge due to the required time and effort for setting and maintaining it. It is particularly difficult when the observed species has a complex social hierarchy and different roles for the members in the social group. In this paper, we introduce an approach to model a primate social network. The primates have complex social behaviors and netw...