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Several recent studies of complex networks have suggested algorithms for locating network communities, also called modules or clusters, which are mostly defined as groups of nodes with dense internal connections. Along with the rapid…

物理与社会 · 物理学 2008-09-04 Peter Pollner , Gergely Palla , Daniel Abel , Andras Vicsek , Illes J. Farkas , Imre Derenyi , Tamas Vicsek

The inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm (CPMw, Clique Percolation Method with…

统计力学 · 物理学 2007-07-18 Illes J. Farkas , Daniel Abel , Gergely Palla , Tamas Vicsek

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

社会与信息网络 · 计算机科学 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville

Confining an answer to the question whether and how the coherent operation of network elements is determined by the the network structure is the topic of our work. We map the structure of signal flow in directed networks by analysing the…

数据分析、统计与概率 · 物理学 2011-06-22 M. Bányai , L. Négyessy , F. Bazsó

When we represent real-world systems as networks, the directions of links often convey valuable information. Finding module structures that respect link directions is one of the most important tasks for analyzing directed networks. Although…

社会与信息网络 · 计算机科学 2016-12-02 Taro Takaguchi , Yuichi Yoshida

Networks are a general language for representing relational information among objects. An effective way to model, reason about, and summarize networks, is to discover sets of nodes with common connectivity patterns. Such sets are commonly…

社会与信息网络 · 计算机科学 2014-01-30 Jaewon Yang , Julian McAuley , Jure Leskovec

Traditional graph analysis focuses on nodes and edges, that is, pairwise relationships. Yet many real-world networks, including biological, social, and communication networks, involve higher-order relationships in which multiple nodes…

综合数学 · 数学 2026-05-15 Heitor Baldo , Luiz A. Baccalá , André Fujita , Koichi Sameshima

The self-consistent probabilistic approach has proven itself powerful in studying the percolation behavior of interdependent or multiplex networks without tracking the percolation process through each cascading step. In order to understand…

物理与社会 · 物理学 2016-05-04 Dunbiao Niu , Xin Yuan , Minhui Du , H. Eugene Stanley , Yanqing Hu

With the increasing availability of behavioral data from diverse digital sources, such as social media sites and cell phones, it is now possible to obtain detailed information about the structure, strength, and directionality of social…

统计方法学 · 统计学 2020-12-02 Heather Mattie , Jukka-Pekka Onnela

Networks (or graphs) appear as dominant structures in diverse domains, including sociology, biology, neuroscience and computer science. In most of the aforementioned cases graphs are directed - in the sense that there is directionality on…

社会与信息网络 · 计算机科学 2015-06-16 Fragkiskos D. Malliaros , Michalis Vazirgiannis

We generate new mathematical tools with which to quantify the macroscopic topological structure of large directed networks. This is achieved via a statistical mechanical analysis of constrained maximum entropy ensembles of directed random…

定量方法 · 定量生物学 2015-05-27 E. S. Roberts , A. C. C. Coolen , T. Schlitt

While for standard percolation directionality is known to increase the combinatorial complexity of percolation, here we show that when connectivity is ensured by paths of length $R\geq 2$, network directionality, impeding backtracking, can…

无序系统与神经网络 · 物理学 2026-05-26 Wenbo Liu , Yiwen Zeng , Xueming Liu , Ginestra Bianconi

Complex networks topologies present interesting and surprising properties, such as community structures, which can be exploited to optimize communication, to find new efficient and context-aware routing algorithms or simply to understand…

数据分析、统计与概率 · 物理学 2009-03-24 V. Nicosia , G. Mangioni , V. Carchiolo , M. Malgeri

Modularity is one of the most prominent properties of real-world complex networks. Here, we address the issue of module identification in two important classes of networks: bipartite networks and directed unipartite networks. Nodes in…

数据分析、统计与概率 · 物理学 2011-11-10 R. Guimera , M. Sales-Pardo , L. A. N. Amaral

In past ten years, modern societies developed enormous communication and social networks. Their classification and information retrieval processing become a formidable task for the society. Due to the rapid growth of World Wide Web, social…

物理与社会 · 物理学 2016-07-14 Leonardo Ermann , Klaus M. Frahm , Dima L. Shepelyansky

To identify communities in directed networks, we propose a generalized form of modularity in directed networks by introducing a new quantity LinkRank, which can be considered as the PageRank of links. This generalization is consistent with…

物理与社会 · 物理学 2010-01-11 Youngdo Kim , Seung-Woo Son , Hawoong Jeong

The traditional node percolation map of directed networks is reanalyzed in terms of edges. In the percolated phase, edges can mainly organize into five distinct giant connected components, interfaces bridging the communication of nodes in…

无序系统与神经网络 · 物理学 2009-11-13 M. Angeles Serrano , Paolo De Los Rios

An important class of real-world networks have directed edges, and in addition, some rank ordering on the nodes, for instance the "popularity" of users in online social networks. Yet, nearly all research related to explosive percolation has…

物理与社会 · 物理学 2017-07-26 Alex Waagen , Raissa M. D'Souza , Tsai-Ching Lu

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

物理与社会 · 物理学 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Online social networks are a dominant medium in everyday life to stay in contact with friends and to share information. In Twitter, users can connect with other users by following them, who in turn can follow back. In recent years,…

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