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We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

The "friendship paradox" of social networks states that, on average, "your friends have more friends than you do." Here, we theoretically and empirically explore a related and overlooked paradox we refer to as the "enmity paradox." We use…

社会与信息网络 · 计算机科学 2023-04-21 Amir Ghasemian , Nicholas A. Christakis

The network effect, wherein one user's activity impacts another user, is common in social network platforms. Many new features in social networks are specifically designed to create a network effect, enhancing user engagement. For instance,…

社会与信息网络 · 计算机科学 2024-05-22 Wentao Su , Weitao Duan

Tie strengths in social networks are heterogeneous, with strong and weak ties playing different roles at both the network and the individual level. Egocentric networks, networks of relationships around a focal individual, exhibit a small…

物理与社会 · 物理学 2024-01-26 Gerardo Iñiguez , Sara Heydari , János Kertész , Jari Saramäki

Centrality measures such as the degree, k-shell, or eigenvalue centrality can identify a network's most influential nodes, but are rarely usefully accurate in quantifying the spreading power of the vast majority of nodes which are not…

社会与信息网络 · 计算机科学 2016-05-27 Glenn Lawyer

Directed links -- representing asymmetric social ties or interactions (e.g., "follower-followee") -- arise naturally in many social networks and other complex networks, giving rise to directed graphs (or digraphs) as basic topological…

社会与信息网络 · 计算机科学 2015-06-19 Bo Jiang , Zhi-Li Zhang , Don Towsley

Understanding real-world networks has been a core research endeavor throughout the last two decades. Network Creation Games are a promising approach for this from a game-theoretic perspective. In these games, selfish agents corresponding to…

计算机科学与博弈论 · 计算机科学 2020-12-14 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Stefanie Lowski , Anna Melnichenko

Networks may, or may not, be wired to have a core that is both itself densely connected and central in terms of graph distance. In this study we propose a coefficient to measure if the network has such a clear-cut core-periphery dichotomy.…

物理与社会 · 物理学 2007-05-23 Petter Holme

Across income groups and countries, individual citizens perceive economic inequality spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actualinequality informing redistributive…

综合经济学 · 经济学 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer , Anna Gebhard

The friendship paradox is revisited by considering both local and global averages of friends. How the economics of attention affects the recruitment of friends is examined. Statistical implications of varying individual attentions are…

社会与信息网络 · 计算机科学 2014-12-23 Subhash Kak

Betweenness centrality, measured by the number of times a vertex occurs on all shortest paths of a graph, has been recognized as a key indicator for the importance of a vertex in the network. However, the betweenness of a vertex is often…

数据库 · 计算机科学 2021-07-22 Qi Zhang , Rong-Hua Li , Minjia Pan , Yongheng Dai , Guoren Wang , Ye Yuan

Recent studies in network science and control have shown a meaningful relationship between the epidemic processes (e.g., COVID-19 spread) and some network properties. This paper studies how such network properties, namely clustering…

社会与信息网络 · 计算机科学 2023-03-17 Mohammadreza Doostmohammadian , Hamid R. Rabiee

In recent decades, it has been emphasized that the evolving structure of networks may be shaped by interaction principles that yield sparse graphs with a vertex degree distribution exhibiting an algebraic tail, and other structural traits…

统计力学 · 物理学 2025-07-01 Dario Borrelli

People's personal social networks are big and cluttered, and currently there is no good way to automatically organize them. Social networking sites allow users to manually categorize their friends into social circles (e.g. 'circles' on…

社会与信息网络 · 计算机科学 2013-01-11 Julian McAuley , Jure Leskovec

Many social, technological, biological, and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most…

无序系统与神经网络 · 物理学 2015-06-24 Chunguang Li , Guanrong Chen

In (Deffuant et al., 2002), we proposed a simple model of opinion dynamics, which we used to simulate the influence of extremists in a population. Simulations were run without any specific interaction structure and varying the simulation…

其他凝聚态物理 · 物理学 2015-06-24 F. Amblard , G. Deffuant

Complex systems are often characterized by large-scale hierarchical organizations. Whether the prominent elements, at the top of the hierarchy, share and control resources or avoid one another lies at the heart of a system's global…

物理与社会 · 物理学 2009-11-13 Tore Opsahl , Vittoria Colizza , Pietro Panzarasa , Jose J. Ramasco

In numerous physical models on networks, dynamics are based on interactions that exclusively involve properties of a node's nearest neighbors. However, a node's local view of its neighbors may systematically bias perceptions of network…

社会与信息网络 · 计算机科学 2016-12-28 Xin-Zeng Wu , Allon G. Percus , Kristina Lerman

The structure of personal networks reflects how we organise and maintain social relationships. The distribution of tie strengths in personal networks is heterogeneous, with a few close, emotionally intense relationships and a larger number…

物理与社会 · 物理学 2024-03-29 Sara Heydari , Gerardo Iñiguez , János Kertész , Jari Saramäki

Correlations may affect propagation processes on complex networks. To analyze their effect, it is useful to build ensembles of networks constrained to have a given value of a structural measure, such as the degree-degree correlation $r$,…

统计力学 · 物理学 2013-04-09 Marlon Ramos , Celia Anteneodo