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The theory of random graphs is a vital part of the education of any
researcher entering the fascinating world of combinatorics.
However, due to their diverse nature, the geometric and structural
aspects of the theory often remain an obscure part of the formative
study of young combinatorialists and probabilists. Moreover, the
theory itself, even in its most basic forms, is often considered
too advanced to be part of undergraduate curricula, and those who
are interested usually learn it mostly through self-study, covering
a lot of its fundamentals but little of the more recent
developments. This book provides a self-contained and concise
introduction to recent developments and techniques for classical
problems in the theory of random graphs. Moreover, it covers
geometric and topological aspects of the theory and introduces the
reader to the diversity and depth of the methods that have been
devised in this context.
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