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 Agile Risk Management by Eric Rosenberg
Cover of the book Global Outsourcing Discourse by Eric Rosenberg
Cover of the book Latent Variable Analysis and Signal Separation by Eric Rosenberg
Cover of the book Vegetation Structure and Function at Multiple Spatial, Temporal and Conceptual Scales by Eric Rosenberg
Cover of the book Pathways to Environmental Sustainability by Eric Rosenberg
Cover of the book Glutathione in Plant Growth, Development, and Stress Tolerance by Eric Rosenberg
Cover of the book Membrane Protein – Lipid Interactions: Physics and Chemistry in the Bilayer by Eric Rosenberg
Cover of the book Multiple Alterities by Eric Rosenberg
Cover of the book Mathematics, Education and History by Eric Rosenberg
Cover of the book Sexual Violence by Eric Rosenberg
Cover of the book Green and Lean Management by Eric Rosenberg
Cover of the book Air Pollution Modeling and its Application XXIII by Eric Rosenberg
Cover of the book Photoptics 2014 by Eric Rosenberg
Cover of the book Logic, Rewriting, and Concurrency by Eric Rosenberg
Cover of the book The Uses of Reason in the Evaluation of Artworks 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