Random Graphs and Networks : A First Course
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Overview
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.
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Details
- ISBN-13: 9781009260282
- ISBN-10: 1009260286
- Publisher: Cambridge University Press
- Publish Date: March 2023
- Dimensions: 9.61 x 6.69 x 0.56 inches
- Shipping Weight: 1.26 pounds
- Page Count: 234
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