000			a
999			_c29802 _d29802
008			191120b xxu||||| |||| 00| 0 eng d
020			_a9783319900469
082			_a004.21 _bROS
100			_aRosenberg, Eric
245			_aSurvey of fractal dimensions of networks
260			_bSpringer _c2018 _aCham
300			_axi,84p. _bill. _c23.5 cm
365			_b54.99 _cEUR _d82.00
504			_aIncludes bibliographical references.
520			_aMany 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.
650			_aSystem analysis.
650			_aFractal analysis.
942			_2ddc _cBK