A unified model for Sierpinski networks with scale-free scaling and small-world effect
نویسندگان
چکیده
منابع مشابه
A unified model for Sierpinski networks with scale-free scaling and small-world effect
In this paper, we propose an evolving Sierpinski gasket, based on which we establish a model of evolutionary Sierpinski networks (ESNs) that unifies deterministic Sierpinski network [Eur. Phys. J. B 60, 259 (2007)] and random Sierpinski network [Eur. Phys. J. B 65, 141 (2008)] to the same framework. We suggest an iterative algorithm generating the ESNs. On the basis of the algorithm, some relev...
متن کاملMaximal planar scale-free Sierpinski networks with small-world effect and power-law strength-degree correlation
Many real networks share three generic properties: they are scale-free, display a small-world effect, and show a power-law strength-degree correlation. In this paper, we propose a type of deterministically growing networks called Sierpinski networks, which are induced by the famous Sierpinski fractals and constructed in a simple iterative way. We derive analytical expressions for degree distrib...
متن کاملNavigation in small world networks, a scale-free continuum model
The small world phenomenon, the principle that we are all linked by a short chain of intermediate acquaintances, has been investigated in mathematics and social sciences. It has been shown to be pervasive in both nature and engineering systems, like the World Wide Web. Recent work of Jon Kleinberg has pointed out that people, using only local information, are very effective at finding short pat...
متن کاملScale-free networks with a large- to small-world transition
Recently there have been a tremendous interest in models of networks with a power-law distribution of degree— so called “scale-free networks.” It has been observed that such networks, normally, have extremely short pathlengths, scaling logarithmically or slower with system size. As en exotic and unintuitive example we propose a simple stochastic model capable of generating scale-free networks w...
متن کاملRandom Sierpinski network with scale-free small-world and modular structure
In this paper, we define a stochastic Sierpinski gasket, on the basis of which we construct a network called random Sierpinski network (RSN). We investigate analytically or numerically the statistical characteristics of RSN. The obtained results reveal that the properties of RSN is particularly rich, it is simultaneously scale-free, small-world, uncorrelated, modular, and maximal planar. All ob...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2009
ISSN: 0378-4371
DOI: 10.1016/j.physa.2009.03.005