Download the fantastic book titled Random Graph Dynamics written by Rick Durrett, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Random Graph Dynamics", which was released on 31 May 2010. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of Random Graph Dynamics by Rick Durrett PDF
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.
Detail About Random Graph Dynamics PDF
- Author : Rick Durrett
- Publisher : Cambridge University Press
- Genre : Mathematics
- Total Pages : 203 pages
- ISBN : 1139460889
- Release Date : 31 May 2010
- PDF File Size : 20,8 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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