Exploring Complex Graphs by Random Walks

Bosiljka Tadić
2003 AIP Conference Proceedings  
We present an algorithm to grow a graph with scale-free structure of in- and out-links and variable wiring diagram in the class of the world-wide Web. We then explore the graph by intentional random walks using local next-near-neighbor search algorithm to navigate through the graph. The topological properties such as betweenness are determined by an ensemble of independent walkers and efficiency of the search is compared on three different graph topologies. In addition we simulate interacting
more » ... ndom walks which are created by given rate and navigated in parallel, representing transport with queueing of information packets on the graph.
doi:10.1063/1.1571287 fatcat:kpjl7fmyr5fopk3qw3mmrmdj4e