Ebook: Random Graphs and Networks: A First Course
Author: Alan Frieze Michał Karoński
- Genre: Mathematics // Graph Theory
- Tags: Algebra, Combinatorics, Graph Theory, Random Graphs, Erdős–Rényi–Gilbert Model, Modeling Complex Networks
- Year: 2023
- Publisher: Cambridge University Press
- City: Cambridge, UK
- Edition: 1
- Language: English
- pdf
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.
Download the book Random Graphs and Networks: A First Course for free or read online
Continue reading on any device:
Last viewed books
Related books
{related-news}
Comments (0)