Fractal analysis is useful in the study of complex networks, present in both natural and artificial systems such as computer systems, brain and social networks, allowing further development of the field in network science.
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difficult to apply to networks since networks are generally not embedded in another space. In order to measure the fractaldimension of networks we add the concept...
fractaldimension is a term invoked in the science of geometry to provide a rational statistical index of complexity detail in a pattern. A fractal pattern...
mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractaldimension strictly exceeding...
as a general rule, fractal curves have different dimensions, also see fractaldimension and list of fractals by Hausdorff dimension. Starting in the 1950s...
Fractal analysis is assessing fractal characteristics of data. It consists of several methods to assign a fractaldimension and other fractal characteristics...
multifractal system is a generalization of a fractal system in which a single exponent (the fractaldimension) is not enough to describe its dynamics; instead...
In fractal geometry, the H tree is a fractal tree structure constructed from perpendicular line segments, each smaller by a factor of the square root...
geometry, exterior dimension is a type of dimension that can be used to characterize the scaling behavior of "fat fractals". A fat fractal is defined to be...
referred to a method of creating a fractal, using a polygon and an initial point selected at random inside it. The fractal is created by iteratively creating...
A fractal antenna is an antenna that uses a fractal, self-similar design to maximize the effective length, or increase the perimeter (on inside sections...
Both strange attractors and Julia sets typically have a fractal structure, and the fractaldimension can be calculated for them. In contrast to single type...
process walk is a fractal of Hausdorff dimension 2.[citation needed] In two dimensions, the average number of points the same random walk has on the boundary...
Statistical Self-Similarity and Fractional Dimension, crystallising mathematical thought into the concept of the fractal. Fibonacci number patterns occur widely...
described by the fractal Weyl law [10,12]. The Google matrix can be constructed also for other directed networks, e.g. for the procedure call network of the Linux...
In mathematics, an Apollonian gasket or Apollonian net is a fractal generated by starting with a triple of circles, each tangent to the other two, and...
{1}{4}}} . The anomalous dimensions in certain two-dimensional CFTs can be related to the typical fractal dimensions of random walks, where the random walks...
have a fractaldimension of 1.2 to 1.5; and the batiks of Lasem on the north coast of Java and of Tasikmalaya in West Java have a fractaldimension between...
This universality means that for a given dimension, the various critical exponents, the fractaldimension of the clusters at pc is independent of the...
(unbranched), mass-fractal object with mass-fractaldimension, df = 2 (connectivity dimension of 1 reflecting a linear structure; and minimum dimension of 2 indicating...
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