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The network density matrix formalism allows for describing the dynamics of information on top of complex structures and it has been successfully used to analyze from system's robustness to perturbations to coarse graining multilayer…

Physics and Society · Physics 2023-05-03 Arsham Ghavasieh , Manlio De Domenico

Dynamic community detection is crucial for elucidating the temporal evolution of social structures, information dissemination, and interactive behaviors within complex networks. Nonnegative matrix factorization provides an efficient…

Social and Information Networks · Computer Science 2024-07-29 Hao Fang , Qu Wang , Qicong Hu , Hao Wu

Complex systems are large collections of entities that organize themselves into non-trivial structures that can be represented by networks. A key emergent property of such systems is robustness against random failures or targeted attacks…

Physics and Society · Physics 2021-06-14 Arsham Ghavasieh , Massimo Stella , Jacob Biamonte , Manlio De Domenico

Networks capture pairwise interactions between entities and are frequently used in applications such as social networks, food networks, and protein interaction networks, to name a few. Communities, cohesive groups of nodes, often form in…

Optimization and Control · Mathematics 2018-04-04 Zachary Boyd , Egil Bae , Xue-Cheng Tai , Andrea L. Bertozzi

To understand the structure of a network, it can be useful to break it down into its constituent pieces. This is the approach taken in a multitude of successful network analysis methods, such as motif analysis. These methods require one to…

Physics and Society · Physics 2023-08-02 Tarmo Nurmi , Mikko Kivelä

The entropy density is an intuitive and powerful concept to study the complicated nonlinear processes derived from physical systems. We develop the minimum entropy density method (MEDM) to detect the structure scale of a given time series,…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Jeong Won Lee , Joongwoo Brian Park , Hang-Hyun Jo , Jae-Suk Yang , Hie-Tae Moon

Graph theory constitutes a widely used and established field providing powerful tools for the characterization of complex networks. The intricate topology of networks can also be investigated by means of the collective dynamics observed in…

Physics and Society · Physics 2018-05-09 Matthieu Gilson , Nikos E Kouvaris , Gustavo Deco , Gorka Zamora-López

Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for scientists. A common approach is to search for the network…

Physics and Society · Physics 2016-12-22 Federico Botta , Charo I. del Genio

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

A central aim of modeling complex networks is to accurately embed networks in order to detect structures and predict link and node properties. The latent space models (LSM) have become prominent frameworks for embedding networks and include…

Social and Information Networks · Computer Science 2022-07-21 Nikolaos Nakis , Abdulkadir Çelikkanat , Morten Mørup

We present recent developments of the NTChem program for performing large scale hybrid Density Functional Theory calculations on the supercomputer Fugaku. We combine these developments with our recently proposed Complexity Reduction…

Understanding how information, diseases, or influence spread across networks is a fundamental challenge in complex systems. While network diameter has been extensively studied in static networks, its definition and behavior in temporal…

Social and Information Networks · Computer Science 2025-05-13 Zahra Farahi , Ali Kamandi , Ali Moeini

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

Community structures detection is one of the fundamental problems in complex network analysis towards understanding the topology structures of the network and the functions of it. Nonnegative matrix factorization (NMF) is a widely used…

Social and Information Networks · Computer Science 2018-01-22 Zhenhai Chang , Hui-Min Cheng , Chao Yan , Xianjun Yin , Zhong-Yuan Zhang

Potential energy landscapes can be represented as a network of minima linked by transition states. The community structure of such networks has been obtained for a series of small Lennard-Jones clusters. This community structure is compared…

Statistical Mechanics · Physics 2007-05-23 Claire P. Massen , Jonathan P. K. Doye

Concise and reliable modeling for aggregating power flexibility of distributed energy resources in active distribution networks (ADNs) is a crucial technique for coordinating transmission and distribution networks. Our recent research has…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Yilin Wen , Zechun Hu , Jinhua He , Yi Guo

With more energy networks being interconnected to form integrated energy systems (IESs), the optimal energy flow (OEF) problem has drawn increasing attention. Extant studies on OEF models mostly utilize the finite difference method (FDM) to…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Binbin Chen , Wenchuan Wu , Qinglai Guo , Hongbin Sun

Characterizing large-scale organization in networks, including multilayer networks, is one of the most prominent topics in network science and is important for many applications. One type of mesoscale feature is community structure, in…

Social and Information Networks · Computer Science 2018-12-10 A. Roxana Pamfil , Sam D. Howison , Renaud Lambiotte , Mason A. Porter

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu
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