Introduction to Random Graphs

Alan Frieze (Carnegie Mellon University, Pennsylvania), Michał Karoński

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English

Cambridge University Press
26 October 2015

Discrete mathematics; Algebra; Combinatorics & graph theory

From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for understanding and applying the theory. Part I includes sufficient material, including exercises, for a one semester course at the advanced undergraduate or beginning graduate level. The reader is then well prepared for the more advanced topics in Parts II and III. A final part provides a quick introduction to the background material needed. All those interested in discrete mathematics, computer science or applied probability and their applications will find this an ideal introduction to the subject.

By: Alan Frieze (Carnegie Mellon University Pennsylvania), Michał Karoński
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 156mm, Spine: 30mm
Weight: 810g
ISBN: 9781107118508
ISBN 10: 1107118506
Pages: 478
Publication Date: 26 October 2015
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

Alan Frieze is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University, Pennsylvania. He has authored more than 300 publications in top journals and was invited to be a plenary speaker at the Seoul ICM 2014. In 1991 he received the Fulkerson prize in discrete mathematics. Michał Karoński is a founder of the Discrete Mathematics Research group at Adam Mickiewicz University in Poznan, Poland. He has authored over 50 publications and currently serves as co-Editor-in-Chief of Random Structures and Algorithms.

Reviews for Introduction to Random Graphs

'This is a well-planned book that is true to its title in that it is indeed accessible for anyone with just an undergraduate student's knowledge of enumerative combinatorics and probability.' Miklos Bona, MAA Reviews This is a well-planned book that is true to its title in that it is indeed accessible for anyone with just an undergraduate student's knowledge of enumerative combinatorics and probability. Miklos Bona, MAA Reviews