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Random Graphs and Networks: A First Course
Alan FriezeMichał Karoński
出版Cambridge University Press, 2023-03-09
主題Computers / Computer ScienceLanguage Arts & Disciplines / Library & Information Science / GeneralMathematics / GeneralMathematics / Discrete MathematicsMathematics / Graphic Methods
ISBN10092602869781009260282
URLhttp://books.google.com.hk/books?id=UyysEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.