Introduction to Random Graphs /
Frieze, Alan
Introduction to Random Graphs / Alan Frieze and Michal Karonski - UK Cambridge University Press 2018 - xvii, 461p.
It includes indexes & References
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.
Brings the reader up to date with modern developments, including matchings in hypergraphs, containers and interpolation
Covers many basic tools that will be useful in all aspects of probabilistic combinatorics
Over 180 exercises test students' grasp of the material
9781107118508
Random Graphs; Probabilities; Combinatorial Probabilities
511.5 FRI
Introduction to Random Graphs / Alan Frieze and Michal Karonski - UK Cambridge University Press 2018 - xvii, 461p.
It includes indexes & References
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.
Brings the reader up to date with modern developments, including matchings in hypergraphs, containers and interpolation
Covers many basic tools that will be useful in all aspects of probabilistic combinatorics
Over 180 exercises test students' grasp of the material
9781107118508
Random Graphs; Probabilities; Combinatorial Probabilities
511.5 FRI