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Various approaches and measures from network analysis have been applied to granular and particulate networks to gain insights into their structural, transport, failure-propagation and other systems-level properties. In this article, we…

软凝聚态物质 · 物理学 2019-11-06 Silvia Nauer , Lucas Böttcher , Mason A. Porter

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

计算物理 · 物理学 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

A book Chapter consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and…

数学物理 · 物理学 2013-06-19 Ernesto Estrada

Recently, many systems for graph analysis have been developed to address the growing needs of both industry and academia to study complex graphs. Insight into the practical uses of graph analysis will allow future developments of such…

社会与信息网络 · 计算机科学 2018-07-03 Tim Hegeman , Alexandru Iosup

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

统计力学 · 物理学 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Graph-structured data are pervasive in the real-world such as social networks, molecular graphs and transaction networks. Graph neural networks (GNNs) have achieved great success in representation learning on graphs, facilitating various…

机器学习 · 计算机科学 2025-02-27 Zhimeng Guo , Teng Xiao , Zongyu Wu , Charu Aggarwal , Hui Liu , Suhang Wang

Graph neural networks (GNN) have shown outstanding applications in many fields where data is fundamentally represented as graphs (e.g., chemistry, biology, recommendation systems). In this vein, communication networks comprise many…

What is a complex network? How do we characterize complex networks? Which systems can be studied from a network approach? In this text, we motivate the use of complex networks to study and understand a broad panoply of systems, ranging from…

物理与社会 · 物理学 2007-11-27 Pedro G. Lind

This paper presents a novel application of graph neural networks for modeling and estimating network heterogeneity. Network heterogeneity is characterized by variations in unit's decisions or outcomes that depend not only on its own…

计量经济学 · 经济学 2024-01-30 Yike Wang , Chris Gu , Taisuke Otsu

Graph data, such as chemical networks and social networks, may be deemed confidential/private because the data owner often spends lots of resources collecting the data or the data contains sensitive information, e.g., social relationships.…

密码学与安全 · 计算机科学 2020-10-07 Xinlei He , Jinyuan Jia , Michael Backes , Neil Zhenqiang Gong , Yang Zhang

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

定量方法 · 定量生物学 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Social networks are analyzed as graphs under the scope of discrete mathematics which have a great range of applications in different contexts such as: technology, social phenomena and biological systems. At the present this theory gives a…

混沌动力学 · 物理学 2007-05-23 Horacio Castellini , Lilia Romanelli

Analysis and prediction of network traffic has applications in wide comprehensive set of areas and has newly attracted significant number of studies. Different kinds of experiments are conducted and summarized to identify various problems…

网络与互联网体系结构 · 计算机科学 2015-07-28 Manish Joshi , Theyazn Hassn Hadi

Random graphs are more and more used for modeling real world networks such as evolutionary networks of proteins. For this purpose we look at two different models and analyze how properties like connectedness and degree distributions are…

概率论 · 数学 2019-02-05 Klemens Taglieber , Uta Freiberg

In this paper, we present CrimeGAT, a novel application of Graph Attention Networks (GATs) for predictive policing in criminal networks. Criminal networks pose unique challenges for predictive analytics due to their complex structure,…

社会与信息网络 · 计算机科学 2023-12-01 Chen Yang

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

社会与信息网络 · 计算机科学 2020-02-06 Xiaoxiao Li , Joao Saude

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

统计力学 · 物理学 2015-06-24 M. E. J. Newman

We showcase in this paper the use of some tools from network theory to describe the strategy of football teams. Using passing data made available by FIFA during the 2010 World Cup, we construct for each team a weighted and directed network…

组合数学 · 数学 2013-12-03 Javier López Peña , Hugo Touchette

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

数据分析、统计与概率 · 物理学 2007-06-21 M. E. J. Newman , E. A. Leicht

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

物理与社会 · 物理学 2010-02-17 Alicia Miralles , Francesc Comellas , Lichao Chen , Zhongzhi Zhang