A Survey of Fractal Dimensions of Networks
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…
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Produktdetails
- ISBN: 978-3-319-90047-6
- EAN: 9783319900476
- Produktnummer: 27525322
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2018
- Seitenangabe: 84 S.
- Plattform: PDF
- Masse: 2'285 KB
- Auflage: 1st ed. 2018
- Abbildungen: 15 schwarz-weiße und 23 farbige Abbildungen, Bibliographie
Über den Autor
Eric Rosenberg received a B.A. in Mathematics from Oberlin College and a Ph.D. in Operations Research from Stanford University. He works at AT&T Labs in Middletown, New Jersey (email: ericr@att.com). Dr. Rosenberg has taught undergraduate and graduate courses in optimization at Princeton University and New Jersey Institute of Technology. He has authored or co-authored 17 patents and has published in the areas of convex analysis and nonlinearly constrained optimization, computer aided design of integrated circuits and printed wire boards, telecommunications network design and routing, and fractal dimensions of networks. He is the author of A Primer of Multicast Routing (Springer Briefs in Computer Science, 2012).
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