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Percolation theory can be used to describe the structural properties of complex networks using the generating function formulation. This mapping assumes that the network is locally tree-like and does not contain short-range loops between…

物理与社会 · 物理学 2021-02-03 Peter Mann , V. Anne Smith , John B. O. Mitchell , Simon Dobson

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

物理与社会 · 物理学 2015-05-11 Hui-Jia Li , J J. Daniels

We construct a connected network of 3.9 million nodes from mobile phone call records, which can be regarded as a proxy for the underlying human communication network at the societal level. We assign two weights on each edge to reflect the…

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

物理与社会 · 物理学 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin

Networks have become a key approach to understanding systems of interacting objects, unifying the study of diverse phenomena including biological organisms and human society. One crucial step when studying the structure and dynamics of…

物理与社会 · 物理学 2010-09-16 Yong-Yeol Ahn , James P. Bagrow , Sune Lehmann

Overlapping communities are key characteristics of the structure and function analysis of complex networks. Shared or overlapping nodes within overlapping communities can form either subcommunities or act as intersections between larger…

社会与信息网络 · 计算机科学 2025-12-19 Vesa Kuikka , Kosti Koistinen , Kimmo K Kaski

Modeling how networks change under structural perturbations can yield foundational insights into network robustness, which is critical in many real-world applications. The largest connected component is a popular measure of network…

物理与社会 · 物理学 2025-09-30 Jessica Jiang , Allison C. Zhuang , Petter Holme , Peter J. Mucha , Alice C. Schwarze

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

动力系统 · 数学 2023-03-31 Paolo Bartesaghi

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

统计力学 · 物理学 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

Online social networks are growing and becoming denser. The social connections of a given person may have very high variability: from close friends and relatives to acquaintances to people who hardly know. Inferring the strength of social…

数据结构与算法 · 计算机科学 2019-02-06 Polina Rozenshtein , Nikolaj Tatti , Aristides Gionis

Analytical approaches to model the structure of complex networks can be distinguished into two groups according to whether they consider an intensive (e.g., fixed degree sequence and random otherwise) or an extensive (e.g., adjacency…

物理与社会 · 物理学 2019-02-13 Antoine Allard , Laurent Hébert-Dufresne

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

社会与信息网络 · 计算机科学 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

Random graphs have played an instrumental role in modelling real-world networks arising from the internet topology, social networks, or even protein-interaction networks within cells. Percolation, on the other hand, has been the fundamental…

概率论 · 数学 2018-09-12 Souvik Dhara

We propose an algorithm for finding overlapping community structure in very large networks. The algorithm is based on the label propagation technique of Raghavan, Albert, and Kumara, but is able to detect communities that overlap. Like the…

物理与社会 · 物理学 2010-10-15 Steve Gregory

The concept of communicability is introduced for complex socio-economic networks. The communicability function expresses how an impact propagates from one place to another in the network. This function is used to define unambiguously the…

物理与社会 · 物理学 2015-04-24 Ernesto Estrada , Naomichi Hatano

Theoretical attempts proposed so far to describe ordinary percolation processes on real-world networks rely on the locally tree-like ansatz. Such an approximation, however, holds only to a limited extent, as real graphs are often…

物理与社会 · 物理学 2016-03-30 Filippo Radicchi , Claudio Castellano

We study the problem of testing for community structure in networks using relations between the observed frequencies of small subgraphs. We propose a simple test for the existence of communities based only on the frequencies of three-node…

统计方法学 · 统计学 2017-10-17 Chao Gao , John Lafferty

One of the most remarkable social phenomena is the formation of communities in social networks corresponding to families, friendship circles, work teams, etc. Since people usually belong to several different communities at the same time,…

物理与社会 · 物理学 2013-08-16 Balint Toth , Tamas Vicsek , Gergely Palla

We present an exact mathematical framework able to describe site-percolation transitions in real multiplex networks. Specifically, we consider the average percolation diagram valid over an infinite number of random configurations where…

物理与社会 · 物理学 2016-12-21 Ginestra Bianconi , Filippo Radicchi

Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

物理与社会 · 物理学 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi