Directed cycles and related structures in random graphs: II—Dynamic properties

Valmir C. Barbosa, Raul Donangelo and Sergio R. Souza

Physica A: Statistical Mechanics and its Applications, 2004, vol. 334, issue 3, 566-582

Abstract: 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, one that forces the graph to a condition of near acyclicity at all times and another that allows the appearance of nontrivial directed cycles, we provide analytic and simulation results related to the distributions of degrees. Within the latter strategy, in particular, we investigate the appearance and behavior of the strong components that were our subject in the first part of this study.

Keywords: Random networks; Directed random networks; Evolving networks; Strong components (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:334:y:2004:i:3:p:566-582

DOI: 10.1016/j.physa.2003.11.010

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