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Cambridge Series in Statistical and Probabilistic Mathematics Ser.: Random Graphs and Complex Networks: Volume 1 by Remco van der Hofstad (2016, Hardcover)
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This rigorous introduction to network science presents random graphs as models for real-world networks. Designed for a master's-level course, where students may only have a basic background in probability, the text covers such important preliminaries as convergence of random variables, probabilistic bounds, coupling, martingales, and branching processes.