Exact solution of mean geodesic distance for Vicsek fractals

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dc.creatorZhang, Zhongzhi
dc.creatorZhou, Shuigeng
dc.creatorChen, Lichao
dc.creatorYin, Ming
dc.creatorGuan, Jihong
dc.date2008-03-24
dc.date.accessioned2026-07-07T10:11:55Z
dc.date.available2026-07-07T10:11:55Z
dc.descriptionThe 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 an exponential 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.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0803.3386
dc.identifierhttp://arxiv.org/abs/0803.3386
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 485102.
dc.identifierdoi:10.1088/1751-8113/41/48/485102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172011
dc.subjectDisordered Systems and Neural Networks
dc.titleExact solution of mean geodesic distance for Vicsek fractals
dc.typetext

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