Evolution mechanism of the local network structure recorded in distribution of distances between neighbors of each vertex

N Ikeda - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
The explosive development of research on real networks have led to the proposal of many
mathematical network models explaining properties shared in the real networked systems …

Fractality and the small-world effect in Sierpinski graphs

L Barrière, F Comellas, C Dalfó - Journal of Physics A …, 2006 - iopscience.iop.org
Although some real networks exhibit self-similarity, there is no standard definition of fractality
in graphs. On the other hand, the small-world phenomenon is one of the most important …

The correlation fractal dimension of complex networks

X Wang, Z Liu, M Wang - International Journal of Modern Physics C, 2013 - World Scientific
The fractality of complex networks is studied by estimating the correlation dimensions of the
networks. Comparing with the previous algorithms of estimating the box dimension, our …

[引用][C] Network heterogeneity based on K-order structure entropy

H Li-Ya, H You-Liang, W Qing… - Acta Physica …, 2019 - … SOC PO BOX 603, BEIJING 100080 …

Linear relation on the correlation in complex networks

CW Ma, KY Szeto - Physical Review E, 2006 - APS
Correlation in complex networks follows a linear relation between the degree of a node and
the total degrees of its neighbors for six different classes of real networks. This general linear …

Fractal and multifractal properties of a family of fractal networks

BG Li, ZG Yu, Y Zhou - Journal of statistical mechanics: Theory …, 2014 - iopscience.iop.org
In this work, we study the fractal and multifractal properties of a family of fractal networks
introduced by Gallos et al (2007 Proc. Nat. Acad. Sci. USA 104 7746). In this fractal network …

Determination of multifractal dimensions of complex networks by means of the sandbox algorithm

JL Liu, ZG Yu, V Anh - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
Complex networks have attracted much attention in diverse areas of science and
technology. Multifractal analysis (MFA) is a useful way to systematically describe the spatial …

The power function hidden in the vulnerability of fractal complex networks

DY Li, PH Huang, XY Wang, HD Liu - Fractals, 2021 - World Scientific
As a special kind of complex network, fractal complex networks have their unique
characteristics such as fractal dimension, scale invariance, percolation threshold, etc. There …

[HTML][HTML] Towards a better understanding of the characteristics of fractal networks

E Zakar-Polyák, M Nagy, R Molontay - Applied Network Science, 2023 - Springer
The fractal nature of complex networks has received a great deal of research interest in the
last two decades. Similarly to geometric fractals, the fractality of networks can also be …

Organizations of rich nodes in complex networks

H Zhao, ZY Gao - Physica A: Statistical Mechanics and its Applications, 2007 - Elsevier
Hidden regularities of complex networks may be different from the properties they show to us
externally. In this paper, organization of rich nodes in real world and model networks are …