Random Graphs and Networks: A First Course

Alan Frieze; Michał Karoński

doi:10.1017/9781009260268

Last updated 27/06/24: Online ordering is currently unavailable due to technical issues. We apologise for any delays responding to customers while we resolve this. For further updates please visit our website: https://www.cambridge.org/news-and-insights/technical-incident

Skip to main content Accessibility help

Home
Books
Random Graphs and Networks: A First Course

Random Graphs and Networks: A First Course

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register

Alan Frieze, Carnegie Mellon University, Pennsylvania, Michał Karoński, Adam Mickiewicz University, Poznań, Poland

Publisher:: Cambridge University Press
Online publication date:: March 2023
Print publication year:: 2023
Online ISBN:: 9781009260268
DOI:: https://doi.org/10.1017/9781009260268

Subjects:: Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding

Information

Contents

Metrics

Networks surround us, from social networks to protein–protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs – component structure, matchings and Hamilton cycles, connectivity and chromatic number – before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading.

‘Random Graphs and Networks: A First Course’ is a wonderful textbook that covers a remarkable set of topics written by two leading experts in the field. The textbook is comprehensive and contains a wealth of theoretical preliminaries, exercises and problems, making it ideal for an introductory course or for self-study. It is the best starting point in the present textbook market for any university student interested in the foundations of network science.’

Charalampos E. Tsourakakis - Boston University

'This is a very concise, highly informative introduction to the theory of random graphs and networks ... Essential.'

M. Bona Source: Choice

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

References

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Random Graphs and Networks: A First Course

Book description

Reviews

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-viii

Preface
pp ix-ix

Acknowledgments
pp x-x

Conventions/Notations
pp xi-xiv

Part I - Preliminaries
pp 1-2

1 - Introduction
pp 3-7

2 - Basic Tools
pp 8-26

Part II - Erdős–Rényi–Gilbert Model
pp 27-28

3 - Uniform and Binomial Random Graphs
pp 29-44

4 - Evolution
pp 45-63

5 - Vertex Degrees
pp 64-77

6 - Connectivity
pp 78-84

7 - Small Subgraphs
pp 85-92

8 - Large Subgraphs
pp 93-110

9 - Extreme Characteristics
pp 111-124

Part III - Modeling Complex Networks
pp 125-126

10 - Inhomogeneous Graphs
pp 127-153

11 - Small World
pp 154-162

12 - Network Processes
pp 163-177

13 - Intersection Graphs
pp 178-196

14 - Weighted Graphs
pp 197-209

References
pp 210-215

Author Index
pp 216-217

Subject Index
pp 218-218

Metrics

Altmetric attention score

Full text views

Book summary page views

Random Graphs and Networks: A First Course

Book description

Reviews

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views