GRAPH ZETA FUNCTION AND DIMENSION OF COMPLEX NETWORK

O. SHANKER

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GRAPH ZETA FUNCTION AND DIMENSION OF COMPLEX NETWORK

机译：图形ZETA功能和复杂网络的维度

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In a recent paper we had defined the dimension of a complex network in terms of the scaling property of the volume. The question assumes significance because the dependence of system behavior on dimension is an important topic in statistical mechanics. Hence we consider the definition in more detail, and we propose a more widely applicable definition in this work. This definition has good mathematical properties, and it is based on the definition of a zeta function for complex networks.

机译：在最近的一篇论文中，我们根据体积的缩放属性定义了复杂网络的维度。该问题之所以有意义，是因为系统行为对维的依赖是统计力学中的一个重要主题。因此，我们将更详细地考虑该定义，并在这项工作中提出一个更广泛适用的定义。此定义具有良好的数学特性，它基于复杂网络的zeta函数的定义。

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《Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics》 |2007年第11期|共6页
作者
O. SHANKER;
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正文语种 eng
中图分类应用物理学;
关键词
Complex networks; fractal dimension; graph zeta function;

机译：复杂网络分形维图zeta函数;

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1. GRAPH ZETA FUNCTION AND DIMENSION OF COMPLEX NETWORK [J] . O. SHANKER Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2007,第11期

机译：图形ZETA功能和复杂网络的维度
2. Complex dimensions of fractals and meromorphic extensions of fractal zeta functions [J] . Michel L. Lapidus, Goran Radunovi?, Darko ?ubrini? Journal of Mathematical Analysis and Applications . 2017,第1期

机译：分形Zeta功能的分形和亚纯延伸的复杂尺寸
3. Fractal zeta functions and complex dimensions of relative fractal drums [J] . Lapidus Michel L., Radunovic Goran, Zubrinic Darko Journal of fixed point theory and applications . 2014,第2期

机译：分形zeta函数和相对分形鼓的复杂尺寸
4. Event Prediction in Complex Social Graphs using One-Dimensional Convolutional Neural Network [C] . Bonaventure Molokwu International Joint Conference on Artificial Intelligence . 2020

机译：三维卷积神经网络复杂社会图中的事件预测
5. Zeta functions, complex dimensions of fractal strings and multifractal analysis of mass distributions. [D] . Rock, John Alexander. 2007

机译：Zeta函数，分形字符串的复杂维数和质量分布的多重分形分析。
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机译：分形弦的复杂维数和几何和谱Zeta函数的显式公式

GRAPH ZETA FUNCTION AND DIMENSION OF COMPLEX NETWORK

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