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Fractal Dimensions of Networks - Hardcover, by Rosenberg Eric - Good

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Last updated on Aug 23, 2025 20:09:38 EDTView all revisionsView all revisions

Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Book Title
Fractal Dimensions of Networks
ISBN
9783030431686

About this product

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3030431681
ISBN-13
9783030431686
eBay Product ID (ePID)
17038404189

Product Key Features

Number of Pages
Xx, 524 Pages
Publication Name
Fractal Dimensions of Networks
Language
English
Publication Year
2020
Subject
Networking / General, Physics / Mathematical & Computational, Discrete Mathematics
Type
Textbook
Author
Eric Rosenberg
Subject Area
Mathematics, Computers, Science
Format
Hardcover

Dimensions

Item Weight
55.2 Oz
Item Length
11 in
Item Width
8.3 in

Additional Product Features

Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1. Introduction.- 2. Networks: Introductory Material.- 3. Fractals: Introductory Material.- 4. Topological and Box Counting Dimensions.- 5. Hausdor, Similarity, and Packing Dimensions.- 6. Computing the Box Counting Dimension.- 7. Network Box Counting Dimension.- 8. Network Box Counting Heuristics.- 9. Correlation Dimension.- 10. Computing the Correlation Dimension.- 11. Network Correlation Dimension.- 12. Dimensions of InFinite Networks.- 13. Similarity Dimension of InFinite Networks.- 14. Information Dimension.- 15. Network Information Dimension.- 16. Generalized Dimensions and Multifractals.- 17. Multifractal Networks.- 18. Generalized Hausdor Dimensions of Networks.- 19. Lacunarity.- 20. Other Dimensions.- 21. Coarse Graining and Renormalization.- 22. Other Network Dimensions.- 23. Supplemental Material.-
Synopsis
Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the "classic" theory of dimensions of geometric objects. The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.
LC Classification Number
TK5105.5-5105.9

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