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Random Graphs and Networks: a First Course by Michał Karoński and Alan Frieze (2023, Trade Paperback)

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Format: Paperback or Softback. Your source for quality books at reduced prices. ISBN: 9781009260305. Publication Date: 3/9/2023. Condition Guide. Item Availability.

About this product

Product Identifiers

PublisherCambridge University Press

ISBN-101009260308

ISBN-139781009260305

eBay Product ID (ePID)4058363442

Product Key Features

Number of Pages232 Pages

LanguageEnglish

Publication NameRandom Graphs and Networks: a First Course

SubjectGeneral, Discrete Mathematics

Publication Year2023

TypeTextbook

Subject AreaMathematics

AuthorMichał KarońSki, Alan Frieze

FormatTrade Paperback

Dimensions

Item Height0.5 in

Item Length9.6 in

Item Width6.7 in

Additional Product Features

LCCN2022-045535

Dewey Edition23

Reviews'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

IllustratedYes

Dewey Decimal511.5

Table Of ContentConventions/Notation; Part I. Preliminaries: 1. Introduction; 2. Basic tools; Part II. Erdos-Rényi-Gilbert Model: 3. Uniform and binomial random graphs; 4. Evolution; 5. Vertex degrees; 6. Connectivity; 7. Small subgraphs; 8. Large subgraphs; 9. Extreme characteristics; Part III. Modeling Complex Networks: 10. Inhomogeneous graphs; 11. Small world; 12. Network processes; 13. Intersection graphs; 14. Weighted graphs; References; Author index; Main index.

SynopsisBased on the authors' own teaching experience, this text introduces random graphs and networks, covering all the basic features before discussing the growth and structure of real-world networks. It can be used as a textbook for a one-semester course at advanced undergraduate or graduate level., 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.

LC Classification NumberQA166.17.F755 2023