Introduction to 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 Introduction to Random Graphs write by Alan Frieze. This book was released on 2016. Introduction to Random Graphs available in PDF, EPUB and Kindle. The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
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.
An Introduction to Exponential Random Graph Modeling
An Introduction to Exponential Random Graph Modeling - 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 An Introduction to Exponential Random Graph Modeling write by Jenine K. Harris. This book was released on 2013-12-23. An Introduction to Exponential Random Graph Modeling available in PDF, EPUB and Kindle. This volume introduces the basic concepts of Exponential Random Graph Modeling (ERGM), gives examples of why it is used, and shows the reader how to conduct basic ERGM analyses in their own research. ERGM is a statistical approach to modeling social network structure that goes beyond the descriptive methods conventionally used in social network analysis. Although it was developed to handle the inherent non-independence of network data, the results of ERGM are interpreted in similar ways to logistic regression, making this a very useful method for examining social systems. Recent advances in statistical software have helped make ERGM accessible to social scientists, but a concise guide to using ERGM has been lacking. This book fills that gap, by using examples from public health, and walking the reader through the process of ERGM model-building using R statistical software and the statnet package. An Introduction to Exponential Random Graph Modeling is a part of SAGE’s Quantitative Applications in the Social Sciences (QASS) series, which has helped countless students, instructors, and researchers learn cutting-edge quantitative techniques.
Random Graph Dynamics
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.
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 Svante Janson. This book was released on 2011-09-30. Random Graphs available in PDF, EPUB and Kindle. A unified, modern treatment of the theory of random graphs-including recent results and techniques Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollobas's well-known 1985 book. Poised to stimulate research for years to come, this new work covers developments of the last decade, providing a much-needed, modern overview of this fast-growing area of combinatorics. Written by three highly respected members of the discrete mathematics community, the book incorporates many disparate results from across the literature, including results obtained by the authors and some completely new results. Current tools and techniques are also thoroughly emphasized. Clear, easily accessible presentations make Random Graphs an ideal introduction for newcomers to the field and an excellent reference for scientists interested in discrete mathematics and theoretical computer science. Special features include: * A focus on the fundamental theory as well as basic models of random graphs * A detailed description of the phase transition phenomenon * Easy-to-apply exponential inequalities for large deviation bounds * An extensive study of the problem of containing small subgraphs * Results by Bollobas and others on the chromatic number of random graphs * The result by Robinson and Wormald on the existence of Hamilton cycles in random regular graphs * A gentle introduction to the zero-one laws * Ample exercises, figures, and bibliographic references
