刘建国blog上的一篇文章,地址:http://blog.sina.com.cn/u/53dc857201000b20 (一直在想这个刘建国是不是nature上的那篇Complexity of Coupled Human and Natural Systems的作者Jianguo Liu呢) 动态网络分析一直是复杂网络研究领域的一个非常活跃的领域。对于与日俱 ...
Complex Systems 535: Network Theory Instructor: Mark Newman Winter 2004 General resources There is no set text for this course because no one has written one yet. But here are some general references that, between them, cover much of the material. ...
Simulation Animation The network graph (Delaunay triangulation DT(V) ) is shown below. The nodes, representing cells, have been numbered from 0 to 19. A coordinate system is used so that distance and orientation of edges is defined. To simulate the spread of fire, we consider ...
Finite Percolation Network The model of the fire spread network is a finite model on the Euclidean Delaunay Triangulation in E 2 . There are many possible percolation models of networks on spanning trees and other graph structures. However, the modeling of fire spread on the Delaunay triangula ...
Forest Fire Modeling Percolation has been used to model fire spread on a square lattice, each square representing a tree earlier as one of the Applications of Percolation Theory. Here we represent the forest as a Voronoi Network. The fire spread network (graph) F ...
Applications of Percolation Theory Percolation is a model for disordered media. Below, we consider some applications of percolation theory that illustrate the modeling aspects of percolation in diverse situations. 1. Forest fires The propagation of a fire thou ...
Types of Percolation There are two types of percolation, depending how one views the lattice: site percolation and bond percolation. In site percolation one views the lattice as a rectangular array of squares. Each square is populated by a dot, or is colored blac ...
Introduction to Percolation Theory We illustrate percolation with an example. A square lattice is shown in Figure 1a. Imagine the lattice to be infinitely extended in all directions. Let's label each square of the lattice to be either in ...