A Survey of Fractal Dimensions of Networks

Nonfiction, Science & Nature, Mathematics, Number Theory, Computers, Networking & Communications, Hardware, General Computing
Cover of the book A Survey of Fractal Dimensions of Networks by Eric Rosenberg, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Eric Rosenberg ISBN: 9783319900476
Publisher: Springer International Publishing Publication: May 29, 2018
Imprint: Springer Language: English
Author: Eric Rosenberg
ISBN: 9783319900476
Publisher: Springer International Publishing
Publication: May 29, 2018
Imprint: Springer
Language: English

Many different fractal dimensions have been proposed for networks. In A Survey of Fractal Dimensions of Networks the theory and computation of the most important of these dimensions are reviewed, including the box counting dimension, the correlation dimension, the mass dimension, the transfinite fractal dimension, the information dimension, the generalized dimensions (which provide a way to describe multifractals), and the sandbox method (for approximating the generalized dimensions). The book describes the use of diameter-based and radius-based boxes, and presents several heuristic methods for box counting, including greedy coloring, random sequential node burning, and a method for computing a lower bound. We also discuss very recent results on resolving ambiguity in the calculation of the information dimension and the generalized dimensions, and on the non-monotonicity of the generalized dimensions. 

Anyone interested in the theory and application of networks will want to read this Brief. This includes anyone studying, e.g., social networks, telecommunications networks, transportation networks, ecological networks, food chain networks, network models of the brain, or financial networks.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Many different fractal dimensions have been proposed for networks. In A Survey of Fractal Dimensions of Networks the theory and computation of the most important of these dimensions are reviewed, including the box counting dimension, the correlation dimension, the mass dimension, the transfinite fractal dimension, the information dimension, the generalized dimensions (which provide a way to describe multifractals), and the sandbox method (for approximating the generalized dimensions). The book describes the use of diameter-based and radius-based boxes, and presents several heuristic methods for box counting, including greedy coloring, random sequential node burning, and a method for computing a lower bound. We also discuss very recent results on resolving ambiguity in the calculation of the information dimension and the generalized dimensions, and on the non-monotonicity of the generalized dimensions. 

Anyone interested in the theory and application of networks will want to read this Brief. This includes anyone studying, e.g., social networks, telecommunications networks, transportation networks, ecological networks, food chain networks, network models of the brain, or financial networks.

More books from Springer International Publishing

Cover of the book Periglacial Preconditioning of Debris Flows in the Southern Alps, New Zealand by Eric Rosenberg
Cover of the book Advances and Applications in Nonlinear Control Systems by Eric Rosenberg
Cover of the book Spectral Methods for Non-Standard Eigenvalue Problems by Eric Rosenberg
Cover of the book XAFS Techniques for Catalysts, Nanomaterials, and Surfaces by Eric Rosenberg
Cover of the book Wireless Rechargeable Sensor Networks by Eric Rosenberg
Cover of the book Language and Migration in a Multilingual Metropolis by Eric Rosenberg
Cover of the book Rough Sets and Knowledge Technology by Eric Rosenberg
Cover of the book The Third Wave in Science and Technology Studies by Eric Rosenberg
Cover of the book Natural Disaster and Coastal Geomorphology by Eric Rosenberg
Cover of the book Nutrition and Diet in Maternal Diabetes by Eric Rosenberg
Cover of the book Self-Study in Physical Education Teacher Education by Eric Rosenberg
Cover of the book Endodontic Prognosis by Eric Rosenberg
Cover of the book Practices and Tools for Servitization by Eric Rosenberg
Cover of the book Protocol Design and Analysis for Cooperative Wireless Networks by Eric Rosenberg
Cover of the book Epstein Barr Virus Volume 2 by Eric Rosenberg
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy