A Survey of Fractal Dimensions of Networks

ISBN-13: 9783319900469 / Angielski / Miękka / 2018 / 84 str.

Eric Rosenberg

Recenzje

"This book presents an updated survey on the fractal dimensions of networks. It focuses on the theory and computation of some important fractal dimensions such as box counting dimension, correlation dimension, mass dimension, transfinite fractal dimension, information dimension, and generalized dimension. The book is suitable for readers with some basic knowledge on limit, derivatives, shortest path algorithm, as well as duality theory in linear programming. There are plenty of figures and sketches throughout the book, which make it fairly readable." (Yilun Shang, zbMath 1414.05001, 2019)

O autorze

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).