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Isolation is a concept from the world of clique enumeration that is mostly used to model communities that do not have much contact to the outside world. Herein, a clique is considered isolated if it has few edges connecting it to the rest…

数据结构与算法 · 计算机科学 2021-03-05 Hendrik Molter , Rolf Niedermeier , Malte Renken

Many natural and engineered complex networks have intricate mesoscopic organization, e.g., the clustering of the constituent nodes into several communities or modules. Often, such modularity is manifested at several different hierarchical…

物理与社会 · 物理学 2015-05-30 Sitabhra Sinha , Swarup Poria

Community structure is one of the most relevant features encountered in numerous real-world applications of networked systems. Despite the tremendous effort of scientists working on this subject over the past few decades to characterize,…

物理与社会 · 物理学 2019-12-18 Hocine Cherifi , Gergely Palla , Boleslaw K. Szymanski , Xiaoyan Lu

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

数据分析、统计与概率 · 物理学 2014-03-26 Tiago P. Peixoto

Temporal networks observed continuously over time through timestamped relational events data are commonly encountered in application settings including online social media communications, financial transactions, and international relations.…

机器学习 · 统计学 2025-05-29 Lingfei Zhao , Hadeel Soliman , Kevin S. Xu , Subhadeep Paul

Communities are clusters of nodes with a higher than average density of internal connections. Their detection is of great relevance to better understand the structure and hierarchies present in a network. Modularity has become a standard…

物理与社会 · 物理学 2015-03-17 Filippo Radicchi , Andrea Lancichinetti , José J. Ramasco

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

统计方法学 · 统计学 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

Several networks occurring in real life have modular structures that are arranged in an hierarchical fashion. In this paper, we have proposed a model for such networks, using a stochastic generation method. Using this model we show that,…

物理与社会 · 物理学 2009-03-12 Raj Kumar Pan , Sitabhra Sinha

Networks that are organized as a hierarchy of modules have been the subject of much research, mainly focusing on algorithms that can extract this community structure from data. The question of why modular hierarchical organizations are so…

物理与社会 · 物理学 2019-07-02 Benjamin F. Maier , Cristián Huepe , Dirk Brockmann

Modular and hierarchical community structures are pervasive in real-world complex systems. A great deal of effort has gone into trying to detect and study these structures. Important theoretical advances in the detection of modular have…

社会与信息网络 · 计算机科学 2023-06-01 Michael T. Schaub , Jiaze Li , Leto Peel

Modularity is designed to measure the strength of division of a network into clusters (known also as communities). Networks with high modularity have dense connections between the vertices within clusters but sparse connections between…

We introduce a simple model of a growing system with $m$ competing communities. The model corresponds to the phenomenon of defeats suffered by social groups living in isolation. A nonequilibrium phase transition is observed when at critical…

物理与社会 · 物理学 2011-03-15 Julian Sienkiewicz , Janusz A. Holyst

In network science, a group of nodes connected with each other at higher probability than with those outside the group is referred to as a community. From the perspective that individual communities are associated with functional modules…

物理与社会 · 物理学 2019-12-10 Hiroshi Okamoto , Xu-le Qiu

Networks or graphs can easily represent a diverse set of data sources that are characterized by interacting units or actors. Social networks, representing people who communicate with each other, are one example. Communities or clusters of…

机器学习 · 统计学 2011-12-14 Karl Rohe , Sourav Chatterjee , Bin Yu

Epidemiological processes are studied within a recently proposed hierarchical network model using the susceptible-infected-refractory dynamics of an epidemic. Within the network model, a population may be characterized by $H$ independent…

无序系统与神经网络 · 物理学 2008-06-24 Dafang Zheng , P. M. Hui , Steffen Trimper , Bo Zheng

We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to…

统计方法学 · 统计学 2024-10-15 Riccardo Corradin , Luca Danese , Wasiur R. KhudaBukhsh , Andrea Ongaro

The social networks that infectious diseases spread along are typically clustered. Because of the close relation between percolation and epidemic spread, the behavior of percolation in such networks gives insight into infectious disease…

定量方法 · 定量生物学 2009-05-14 Joel C Miller

Community detection in networks is the process of identifying unusually well-connected sub-networks and is a central component of many applied network analyses. The paradigm of modularity optimization stipulates a partition of the network's…

应用统计 · 统计学 2017-08-16 Weston D. Viles , A. James O'Malley

Large-scale transitions in societies are associated with both individual behavioural change and restructuring of the social network. These two factors have often been considered independently, yet recent advances in social network research…

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

元胞自动机与格子气 · 物理学 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev
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