38 citations · 131 across the 14 of their papers we have counts for
5 papers · 1 filter
Configuration space partitioning in tilings of a bounded region of the plane
Eduardo J. Aguilar, Valmir C. Barbosa, Raul Donangelo +1
Given a finite collection of two-dimensional tile types, the field of study concerned with covering the plane with tiles of these types exclusively has a long history, having enjoy…
Emergence of scale-free behavior in networks from limited-horizon linking and cost trade-offs
Valmir C. Barbosa, Raul Donangelo, Sergio R. Souza
We study network growth from a fixed set of initially isolated nodes placed at random on the surface of a sphere. The growth mechanism we use adds edges to the network depending on…
Schematic models for fragmentation of brittle solids in one and two dimensions
F. P. M. dos Santos, R. Donangelo, S. R. Souza
Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting…
Emergence of scale-free networks from local connectivity and communication trade-offs
Valmir C. Barbosa, Raul Donangelo, Sergio R. Souza
We introduce a new mechanism of connectivity evolution in networks to account for the emergence of scale-free behavior. The mechanism works on a fixed set of nodes and promotes gro…
Directed cycles and related structures in random graphs: II--Dynamic properties
Valmir C. Barbosa, Raul Donangelo, Sergio R. Souza
We study directed random graphs (random graphs whose edges are directed) as they evolve in discrete time by the addition of nodes and edges. For two distinct evolution strategies,…