Random Graphs, Geometry and Asymptotic Structure
Nonfiction, Science & Nature, Mathematics, Discrete Mathematics
| Author: | Michael Krivelevich, Konstantinos Panagiotou, Mathew Penrose, Colin McDiarmid | ISBN: | 9781316552100 |
| Publisher: | Cambridge University Press | Publication: | April 25, 2016 |
| Imprint: | Cambridge University Press | Language: | English |
| Author: | Michael Krivelevich, Konstantinos Panagiotou, Mathew Penrose, Colin McDiarmid |
| ISBN: | 9781316552100 |
| Publisher: | Cambridge University Press |
| Publication: | April 25, 2016 |
| Imprint: | Cambridge University Press |
| Language: | English |
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.
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.
