Random Graph Dynamics pdf epub mobi txt 电子书 下载 2024


Random Graph Dynamics

简体网页||繁体网页
Rick Durrett
Cambridge University Press
2006-10-23
222
GBP 64.00
Hardcover
9780521866569

图书标签: 图论  概率专著  数学  复杂系统  sns  Math  Graph   


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发表于2024-12-25

Random Graph Dynamics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Random Graph Dynamics epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Random Graph Dynamics pdf epub mobi txt 电子书 下载 2024



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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 about the same 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. While this literature is extensive, many of the papers are based on simulations and nonrigorous arguments. 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 of this book is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

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难……很多branching process和multi coalescence的东西

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难……很多branching process和multi coalescence的东西

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难……很多branching process和multi coalescence的东西

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