Random Graphs Geometry And Asymptotic Structure
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Random Graphs, Geometry and Asymptotic Structure
Author: Michael Krivelevich
language: en
Publisher: Cambridge University Press
Release Date: 2016-04-25
A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.
Random Graphs, Geometry, and Asymptotic Structure
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.
Analysis on Polish Spaces and an Introduction to Optimal Transportation
Author: D. J. H. Garling
language: en
Publisher: Cambridge University Press
Release Date: 2018
Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.