Random Graphs and Complex Networks: Volume 2

Remco van der Hofstad is Full Professor of Probability at Eindhoven University of Technology. He received the 2003 Prix Henri Poincaré (jointly with Gordon Slade) and the 2007 Rollo Davidson Prize, and he is a laureate of the 2003 Innovative Research VIDI Scheme and the 2008 Innovative Research VICI Scheme. He served as scientific director at Eurandom from 2011 to 2019, and is a member of the Dutch Royal Academy of Science. Van der Hofstad is one of the principal investigators of the prestigious NETWORKS Gravitation Program and is the creator of the interactive website networkpages.nl, aimed at a broad audience.

• Preface; Possible course outline; Part I. Preliminaries: 1. Introduction and preliminaries; 2. Local convergence of random graphs; Part II. Connected Components in Random Graphs: 3. Connected components in general inhomogeneous random graphs; 4. Connected components in configuration models; 5. Connected components in preferential attachment models; Part III. Small-world Properties of Random Graphs: 6. Small-world phenomena in inhomogeneous random graphs; 7. Small-world phenomena in configuration models; 8. Small-world phenomena in preferential attachment models; Part IV. Related Models and Problems: 9. Related models; Appendix; Glossary; References; Index.

'Even before its publication, the second volume of 'Random graphs and complex networks' has become a classic for anyone working in random graph theory. Remco van der Hofstad manages to treat in detail a very large extent of this fascinating theory, while staying extremely pedagogical and accessible to a broad audience. It covers in depth the local convergence and small-world properties of scale-free random graphs. Together with the first volume, these are among the essential books every probabilist should have on their shelf!' Nicolas Curien, Université Paris-Saclay