img Leseprobe Leseprobe

A Survey of Fractal Dimensions of Networks

Eric Rosenberg

PDF
ca. 53,49
Amazon iTunes Thalia.de Weltbild.de Hugendubel Bücher.de ebook.de kobo Osiander Google Books Barnes&Noble bol.com Legimi yourbook.shop Kulturkaufhaus ebooks-center.de
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Datenkommunikation, Netzwerke

Beschreibung

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.

Weitere Titel in dieser Kategorie
Cover Desktop Witness
Michael A. Caloyannides
Cover Inferno Programming with Limbo
Phillip Stanley-Marbell
Cover LaTeX Cookbook
Stefan Kottwitz
Cover Smart Edge Computing
Prasenjit Chatterjee

Kundenbewertungen

Schlagwörter

fractal dimensions, correlation dimension, information dimension, fractal, partition function, generalized dimensions, box counting, graph coloring, complex network, multifractal, entropy