Random Graph Dynamics (Paperback)

Rick Durrett

ISBN 10: 0521150167 / ISBN 13: 9780521150163

Verlag: Cambridge University Press, Cambridge, 2010

Paperback. 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. This book presents a wide-ranging variety of mathematical argument to give insights into the small world model, the preferential attachment model and related random graphs. A unique feature is the focus on the dynamics of process taking place on the graphs in addition to geometric properties such as correctness and diameter. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9780521150163

Inhaltsangabe:

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

Über die Autorin bzw. den Autor: Rick Durrett is Professor of Mathematics at Cornell University. He received his Ph.D. in Operations Research from Stanford in 1976. After nine years at UCLA, he moved to Cornell, where his research turned to applications of probability to ecology and, more recently, genetics. He has written more than 150 papers, six other books, and has 33 academic descendants.

Bibliografische Details

Titel: Random Graph Dynamics (Paperback)
Verlag: Cambridge University Press, Cambridge
Erscheinungsdatum: 2010
Einband: Paperback
Zustand: new