The Domination Number of On-line Social Networks and Random Geometric Graphs [chapter]

Anthony Bonato, Marc Lozier, Dieter Mitsche, Xavier Pérez-Giménez, Paweł Prałat
2015 Lecture Notes in Computer Science  
We consider the domination number for on-line social networks, both in a stochastic network model, and for real-world, networked data. Asymptotic sublinear bounds are rigorously derived for the domination number of graphs generated by the memoryless geometric protean random graph model. We establish sublinear bounds for the domination number of graphs in the Facebook 100 data set, and these bounds are well-correlated with those predicted by the stochastic model. In addition, we derive the
more » ... otic value of the domination number in classical random geometric graphs.
doi:10.1007/978-3-319-17142-5_14 fatcat:45edczldybfnpo42jd4awydz44