期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 41, 期 48, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/41/48/485102
关键词
-
资金
- National Basic Research Program of China [2007CB310806]
- National Natural Science Foundation of China [60496327, 60573183, 60773123, 60704044]
- Postdoctoral Science Foundation of China [20060400162]
- Shanghai Leading Academic Discipline [B114]
- New Century Excellent Talents in University of China [NCET-06-0376]
Vicsek fractals are one of the most interesting classes of fractals and the study of their structural properties is important. In this paper, the exact formula for the mean geodesic distance of Vicsek fractals is found. The quantity is computed precisely through the recurrence relations derived from the self-similar structure of the fractals considered. The obtained exact solution exhibits that the mean geodesic distance approximately increases as a power-law function of the number of nodes, with the exponent equal to the reciprocal of the fractal dimension. The closed-form solution is confirmed by extensive numerical calculations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据