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Networks are useful representations for complex systems. Especially, heterogeneous and asymmetrical relations commonly found in complex systems can be converted to weighted directed edges between nodes. The disparity filter (Serrano et al.,…

物理与社会 · 物理学 2025-11-21 Hyunuk Kim

Network analysis provides powerful tools to learn about a variety of social systems. However, most analyses implicitly assume that the considered relational data is error-free, reliable and accurately reflects the system to be analysed.…

社会与信息网络 · 计算机科学 2022-01-12 Felix I. Stamm , Leonie Neuhäuser , Florian Lemmerich , Michael T. Schaub , Markus Strohmaier

Data describing the three-dimensional structure of physical networks is increasingly available, leading to a surge of interest in network science to explore the relationship between the shape and connectivity of physical networks. We…

物理与社会 · 物理学 2024-08-20 Luka Blagojević , Márton Pósfai

Complex networks are usually characterized in terms of their topological, spatial, or information-theoretic properties and combinations of the associated metrics are used to discriminate networks into different classes or categories.…

数据分析、统计与概率 · 物理学 2017-10-25 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

We investigate the role of degree correlation among nodes on the stability of complex networks, by studying spectral properties of randomly weighted matrices constructed from directed Erd\"{o}s-R\'enyi and scale-free random graph models. We…

统计力学 · 物理学 2007-05-23 Markus Brede , Sitabhra Sinha

Complex network formalism allows to explain the behavior of systems composed by interacting units. Several prototypical network models have been proposed thus far. The small-world model has been introduced to mimic two important features…

数据分析、统计与概率 · 物理学 2017-10-05 Paweł Oświȩcimka , Lorenzo Livi , Stanisław Drożdż

Spatial networks have recently attracted great interest in various fields of research. While the traditional network-theoretic viewpoint is commonly restricted to their topological characteristics (often disregarding existing spatial…

This paper reviews, classifies and compares recent models for social networks that have mainly been published within the physics-oriented complex networks literature. The models fall into two categories: those in which the addition of new…

物理与社会 · 物理学 2008-12-24 Riitta Toivonen , Lauri Kovanen , Mikko Kivelä , Jukka-Pekka Onnela , Jari Saramäki , Kimmo Kaski

A classic measure of ecological stability describes the tendency of a community to return to equilibrium after small perturbation. While many advances show how the network structure of these communities severely constrains such tendencies,…

种群与进化 · 定量生物学 2015-06-09 Gang Yan , Neo D. Martinez , Yang-Yu Liu

Since many real world networks are evolving over time, such as social networks and user-item networks, there are increasing research efforts on dynamic network embedding in recent years. They learn node representations from a sequence of…

社会与信息网络 · 计算机科学 2021-03-30 Guotong Xue , Ming Zhong , Jianxin Li , Jia Chen , Chengshuai Zhai , Ruochen Kong

Many empirical networks display an inherent tendency to cluster, i.e. to form circles of connected nodes. This feature is typically measured by the clustering coefficient (CC). The CC, originally introduced for binary, undirected graphs,…

物理与社会 · 物理学 2009-11-13 Giorgio Fagiolo

First principle network models are crucial to make sense of the intricate topology of real complex networks. While modeling efforts have been quite successful in undirected networks, generative models for networks with asymmetric…

物理与社会 · 物理学 2023-02-20 Antoine Allard , M. Ángeles Serrano , Marián Boguñá

Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturally from the simple growth processes which form and shape many…

物理与社会 · 物理学 2020-08-05 Ben D. MacArthur , Rubén J. Sánchez-García

Network sampling is a crucial technique for analyzing large or partially observable networks. However, the effectiveness of different sampling methods can vary significantly depending on the context. In this study, we empirically compare…

社会与信息网络 · 计算机科学 2025-05-05 Quoc Chuong Nguyen

Street networks may be planned according to clear organizing principles or they may evolve organically through accretion, but their configurations and orientations help define a city's spatial logic and order. Measures of entropy reveal a…

物理与社会 · 物理学 2019-08-20 Geoff Boeing

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

物理与社会 · 物理学 2019-09-25 Timo Bröhl , Klaus Lehnertz

Many real-world networks are intrinsically directed. Such networks include activation of genes, hyperlinks on the internet, and the network of followers on Twitter among many others. The challenge, however, is to create a network model that…

社会与信息网络 · 计算机科学 2022-04-15 Jesse Michel , Sushruth Reddy , Rikhav Shah , Sandeep Silwal , Ramis Movassagh

While studies of meso-scale structures in networks often focus on community structure, core--periphery structures can reveal new insights. This structure typically consists of a well-connected core and a periphery that is well connected to…

社会与信息网络 · 计算机科学 2021-03-17 Andrew Elliott , Angus Chiu , Marya Bazzi , Gesine Reinert , Mihai Cucuringu

Complex networks are made up of vertices and edges. The latter connect the vertices. There are several ways to measure the importance of the vertices, e.g., by counting the number of edges that start or end at each vertex, or by using the…

物理与社会 · 物理学 2024-07-08 Silvia Noschese , Lothar Reichel

Many social networks exhibit assortative mixing so that the predictions of uncorrelated models might be inadequate. To analyze the role of assortativity we introduce an algorithm which changes correlations in a network and produces…

统计力学 · 物理学 2009-11-10 R. Xulvi-Brunet , I. M. Sokolov