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The structure entropy is one of the most important parameters to describe the structure property of the complex networks. Most of the existing struc- ture entropies are based on the degree or the betweenness centrality. In order to describe…

Social and Information Networks · Computer Science 2014-11-25 Qi Zhang , Xi Lu , Meizhu Li , Yong Deng , Sankaran Mahadevan

Precisely quantifying the heterogeneity or disorder of a network system is very important and desired in studies of behavior and function of the network system. Although many degree-based entropies have been proposed to measure the…

Physics and Society · Physics 2008-10-09 Yanghua Xiao , Wentao Wu , Hui Wang , Momiao Xiong , Wei Wang

Identifying influential nodes in the complex networks is of theoretical and practical significance. There are many methods are proposed to identify the influential nodes in the complex networks. In this paper, a local structure entropy…

Social and Information Networks · Computer Science 2014-12-15 Qi Zhang , Meizhu Li , Yuxian Du , Yong Deng

How complex of the complex networks has attracted many researchers to explore it. The entropy is an useful method to describe the degree of the $complex$ of the complex networks. In this paper, a new method which is based on the Tsallis…

Social and Information Networks · Computer Science 2015-01-29 Qi Zhang , Meizhu Li , Yong Deng , Sankaran Mahadevan

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Networked structure emerged from a wide range of fields such as biological systems, World Wide Web and technological infrastructure. A deeply insight into the topological complexity of these networks has been gained. Some works start to pay…

Physics and Society · Physics 2012-02-03 Jiang Xiongfei

In this paper, a new methodology for stability assessment of a smart power system is proposed. The key to this assessment is an index called betweenness index which is based on ideas from complex network theory. The proposed betweenness…

Other Computer Science · Computer Science 2011-03-18 A. B. M. Nasiruzzaman , H. R. Pota

A fundamental problem in studying and modeling economic and financial systems is represented by privacy issues, which put severe limitations on the amount of accessible information. Here we introduce a novel, highly nontrivial method to…

Physics and Society · Physics 2018-12-10 Giulio Cimini , Tiziano Squartini , Andrea Gabrielli , Diego Garlaschelli

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Giacomo Baggio , Marco Fabris

Structural analysis in network science is finding the information hidden from the topology structure of complex networks. Many methods have already been proposed in the research on the structural analysis of complex networks to find the…

Physics and Society · Physics 2024-02-22 Ronghao Deng , Meizhu Li , Qi Zhang

In this paper we generalize the concept of random networks to describe networks with non trivial features by a statistical mechanics approach. This framework is able to describe ensembles of undirected, directed as well as weighted…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ginestra Bianconi

The concept of nestedness, in particular for ecological and economical networks, has been introduced as a structural characteristic of real interacting systems. We suggest that the nestedness is in fact another way to express a mesoscale…

Physics and Society · Physics 2016-02-22 Sang Hoon Lee

The entropy of network ensembles characterizes the amount of information encoded in the network structure, and can be used to quantify network complexity, and the relevance of given structural properties observed in real network datasets…

Disordered Systems and Neural Networks · Physics 2014-06-18 Kartik Anand , Dimitri Krioukov , Ginestra Bianconi

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

Physics and Society · Physics 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

In this paper we define a new class of weighted complex networks sharing several properties with fractal sets, and whose topology can be completely analytically characterized in terms of the involved parameters and of the fractal dimension.…

Other Condensed Matter · Physics 2014-01-10 Timoteo Carletti , Simone Righi

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

Social and Information Networks · Computer Science 2010-09-15 Bo Yang , Jiming Liu

Information entropy has been proved to be an effective tool to quantify the structural importance of complex networks. In the previous work (Xu et al, 2016 \cite{xu2016}), we measure the contribution of a path in link prediction with…

Social and Information Networks · Computer Science 2017-03-08 Zhongqi Xu , Cunlai Pu , Rajput Ramiz Sharafat , Lunbo Li , Jian Yang

Network theory provides tools which are particularly appropriate for assessing the complex interdependencies that characterise our modern connected world. This article presents an introduction to network theory, in a way that doesn't…

Physics and Society · Physics 2020-05-01 Vaiva Vasiliauskaite , Fernando E. Rosas
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