Random Graph Dynamics

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Release : 2010-05-31
Genre : Mathematics
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Book Rating : 889/5 ( reviews)

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.

Graph Dynamics

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Release : 1995-11-22
Genre : Mathematics
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Book Rating : 962/5 ( reviews)

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 Graph Dynamics write by Erich Prisner. This book was released on 1995-11-22. Graph Dynamics available in PDF, EPUB and Kindle. Study of "graph operators" or "graph-valued functions" such as the line graph, the clique graph, the complement, and powers, raises several immediate questions: Which graphs are fixed under the operator? Which graphs appear as images of graphs? What happens if the operator is iterated? Over the last 30 years these questions have been answered and methods developed for particular operators in literally hundreds of papers on the subject. Nowhere, however, could one find a comprehensive treatment-a unification of terminology, questions, and methods. Graph Dynamics provides that comprehensive treatment. Its purpose is threefold: it serves as an introductory textbook on the topic, offers an encyclopedic survey of the literature, and reports recent research-both new tools and results on concrete operators. Part I explicitly presents graph dynamics general theory, stating general principles illustrated by application to graph operators. Part 2 addresses the operators themselves. It lists all known graph operators grouped together in families and recounts, with complete references, all that is known about the dynamical behavior of these concrete operators. Graph Dynamics is the book you need if you are looking for information on a particular operator, need a text for advanced students, or want to review collected research results presented with a common terminology. It is clearly an essential resource for anyone working in or studying algebra, combinatorics, or graph theory.

System Dynamics and Control with Bond Graph Modeling

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Release : 2013-04-25
Genre : Technology & Engineering
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Book Rating : 762/5 ( reviews)

System Dynamics and Control with Bond 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 System Dynamics and Control with Bond Graph Modeling write by Javier Kypuros. This book was released on 2013-04-25. System Dynamics and Control with Bond Graph Modeling available in PDF, EPUB and Kindle. Written by a professor with extensive teaching experience, System Dynamics and Control with Bond Graph Modeling treats system dynamics from a bond graph perspective. Using an approach that combines bond graph concepts and traditional approaches, the author presents an integrated approach to system dynamics and automatic controls. The textbook guide

A Graph-Theoretic Approach to Enterprise Network Dynamics

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Release : 2007-04-05
Genre : Computers
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Book Rating : 195/5 ( reviews)

A Graph-Theoretic Approach to Enterprise Network 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 A Graph-Theoretic Approach to Enterprise Network Dynamics write by Horst Bunke. This book was released on 2007-04-05. A Graph-Theoretic Approach to Enterprise Network Dynamics available in PDF, EPUB and Kindle. This monograph treats the application of numerous graph-theoretic algorithms to a comprehensive analysis of dynamic enterprise networks. Network dynamics analysis yields valuable information about network performance, efficiency, fault prediction, cost optimization, indicators and warnings. Based on many years of applied research on generic network dynamics, this work covers a number of elegant applications (including many new and experimental results) of traditional graph theory algorithms and techniques to computationally tractable network dynamics analysis to motivate network analysts, practitioners and researchers alike.

Engineering System Dynamics

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Release : 2006-08-15
Genre : Science
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Book Rating : 489/5 ( reviews)

Engineering System 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 Engineering System Dynamics write by Forbes T. Brown. This book was released on 2006-08-15. Engineering System Dynamics available in PDF, EPUB and Kindle. For today's students, learning to model the dynamics of complex systems is increasingly important across nearly all engineering disciplines. First published in 2001, Forbes T. Brown's Engineering System Dynamics: A Unified Graph-Centered Approach introduced students to a unique and highly successful approach to modeling system dynamics using bond graphs. Updated with nearly one-third new material, this second edition expands this approach to an even broader range of topics. What's New in the Second Edition? In addition to new material, this edition was restructured to build students' competence in traditional linear mathematical methods before they have gone too far into the modeling that still plays a pivotal role. New topics include magnetic circuits and motors including simulation with magnetic hysteresis; extensive new material on the modeling, analysis, and simulation of distributed-parameter systems; kinetic energy in thermodynamic systems; and Lagrangian and Hamiltonian methods. MATLABĀ® figures prominently in this edition as well, with code available for download from the Internet. This code includes simulations for problems that appear in the later chapters as well as code for selected thermodynamic substances. Using a step-by-step pedagogy accompanied by abundant examples, graphs, illustrations, case studies, guided exercises, and homework problems, Engineering System Dynamics: A Unified Graph-Centered Approach, Second Edition is a text that students will embrace and continue to use well into their careers. While the first half of the book is ideal for junior-level undergraduates, the entire contents are suited for more advanced students.