Random Graph Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Graph Dynamics write by Rick Durrett. This book was released on 2010-05-31. Random Graph Dynamics available in PDF, EPUB and Kindle. 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.
Dynamics on Graphs
Dynamics on Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics on Graphs write by Rick Durrett. This book was released on 2024-10-31. Dynamics on Graphs available in PDF, EPUB and Kindle. This extensive revision of the 2007 book 'Random Graph Dynamics,' covering the current state of mathematical research in the field, is ideal for researchers and graduate students. It considers a small number of types of graphs, primarily the configuration model and inhomogeneous random graphs. However, it investigates a wide variety of dynamics. The author describes results for the convergence to equilibrium for random walks on random graphs as well as topics that have emerged as mature research areas since the publication of the first edition, such as epidemics, the contact process, voter models, and coalescing random walk. Chapter 8 discusses a new challenging and largely uncharted direction: systems in which the graph and the states of their vertices coevolve.
Random Graphs and Complex Networks
Random Graphs and Complex Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Graphs and Complex Networks write by Remco van der Hofstad. This book was released on 2017. Random Graphs and Complex Networks available in PDF, EPUB and Kindle. This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.
Random Graph Dynamics ; Lecture Notes
Random Graph Dynamics ; Lecture Notes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Graph Dynamics ; Lecture Notes write by Richard Durrett. This book was released on 2007. Random Graph Dynamics ; Lecture Notes available in PDF, EPUB and Kindle.
Random Graphs
Random Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Graphs write by Béla Bollobás. This book was released on 2001-08-30. Random Graphs available in PDF, EPUB and Kindle. This is a revised and updated version of the classic first edition.
