Cantitate/Preț
Produs

Random Graph Dynamics: Cambridge Series in Statistical and Probabilistic Mathematics, cartea 20

Autor Rick Durrett
en Limba Engleză Paperback – 30 mai 2010
The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.
Citește tot Restrânge

Din seria Cambridge Series in Statistical and Probabilistic Mathematics

Preț: 31634 lei

Nou

Puncte Express: 475

Preț estimativ în valută:
6054 6282$ 5060£

Carte tipărită la comandă

Livrare economică 15-29 martie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780521150163
ISBN-10: 0521150167
Pagini: 220
Ilustrații: illustrations
Dimensiuni: 178 x 253 x 11 mm
Greutate: 0.39 kg
Ediția:Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Series in Statistical and Probabilistic Mathematics

Locul publicării:New York, United States

Cuprins

1. Overview; 2. Erdos–Renyi random graphs; 3. Fixed degree distributions; 4. Power laws; 5. Small worlds; 6. Random walks; 7. CHKNS model.

Recenzii

'A very valuable addition to the growing field of random graphs, providing a systematic coverage of these novel models.' Michael Krivelevich, Mathematical Reviews
'The book is written in a friendly, chatty style, making it easy to read; I very much like that. In summary, Random Graph Dynamics is a nice contribution to the area of random graphs and a source of valuable insights.' Malwina J. Luczak, Journal of the American Statistical Association

Descriere

This book uses mathematical arguments to obtain insights into random graphs.