复杂网络维的测量

Measuring Dimensions for Complex Networks

近几年来,科学领域内许多不同学科学者对复杂网络中的维产生了关注和研究,维在复杂网络的研究中起着越来越重要的作用,从而成为国际科学研究前沿领域内的一个新热点。介绍了关于复杂网络中的维的三种定义,例如黎曼Zeta函数、容量维数等,然后说明了维数的一些性质并介绍了捷径模型,最后将这些理论应用在Ising模型中并对未来的发展进行了展望。通过对复杂网络中的维的测量,可以更加深入地了解复杂网络并将其更好的应用。

Several studies in different fields have been done on the fractal dimensions of complex networks . Dimensions play more important role in complex network. As a result, it has formed a new science field, Introduce three ways to resolve the problem, such as the complex network Zeta function and volume dimension. Then show some properties of dimensions and introduce shortcut model. At last use results from the theory to Ising mode and present challenges for researchers in the foreseeable future. By measuring the dimensions of complex networks,give an insight into the complex network and apply it better.