Scale-free networks embedded in fractal space
نویسندگان
چکیده
منابع مشابه
Scale-free networks embedded in fractal space
The impact of an inhomogeneous arrangement of nodes in space on a network organization cannot be neglected in most real-world scale-free networks. Here we propose a model for a geographical network with nodes embedded in a fractal space in which we can tune the network heterogeneity by varying the strength of the spatial embedding. When the nodes in such networks have power-law distributed intr...
متن کاملFractal and Transfractal Scale-Free Networks
Degree of a node Number of edges incident to the node. Scale-Free Network Network that exhibits a wide (usually power-law) distribution of the degrees. Small-World Network Network for which the diameter increases logarithmically with the number of nodes. Distance The length (measured in number of links) of the shortest path between two nodes. Box Group of nodes. In a connected box there exists ...
متن کاملFinite epidemic thresholds in fractal scale-free ‘large-world’ networks
Abstract. It is generally accepted that scale-free networks is prone to epidemic spreading allowing the onset of large epidemics whatever the spreading rate of the infection. In the paper, we show that disease propagation may be suppressed in particular fractal scale-free networks. We first study analytically the topological characteristics of a network model and show that it is simultaneously ...
متن کاملGeometric fractal growth model for scale-free networks.
We introduce a deterministic model for scale-free networks, whose degree distribution follows a power law with the exponent gamma. At each time step, each vertex generates its offspring, whose number is proportional to the degree of that vertex with proportionality constant m-1 (m>1). We consider the two cases: First, each offspring is connected to its parent vertex only, forming a tree structu...
متن کاملA Geometric Fractal Growth Model for Scale Free Networks
We introduce a deterministic model for scale-free networks, whose degree distribution follows a power-law with an exponent γ. At each time step, each vertex generates its offsprings, whose number is proportional to the degree of that vertex with proportionality constant m − 1 (m > 1). We consider the two cases: first, each offspring is connected to its parent vertex only, forming a tree structu...
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: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.83.066111