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Convergence is a fundamental topic in analysis that is most commonly modelled using topology. However, there are many natural convergences that are not given by any topology; e.g., convergence almost everywhere of a sequence of measurable…

Functional Analysis · Mathematics 2021-03-03 M. O'Brien , V. G. Troitsky , J. H. van der Walt

The study of networks plays a crucial role in investigating the structure, dynamics, and function of a wide variety of complex systems in myriad disciplines. Despite the success of traditional network analysis, standard networks provide a…

Physics and Society · Physics 2017-04-05 Manlio De Domenico , Clara Granell , Mason A. Porter , Alex Arenas

Structural balance is an important characteristic of graphs/networks where edges can be positive or negative, with direct impact on the study of real-world complex systems. When a network is not structurally balanced, it is important to…

Social and Information Networks · Computer Science 2024-06-17 Yu Tian , Ernesto Estrada

Many real systems have been modelled in terms of network concepts, and written texts are a particular example of information networks. In recent years, the use of network methods to analyze language has allowed the discovery of several…

Computation and Language · Computer Science 2016-06-28 Henrique F. de Arruda , Luciano da F. Costa , Diego R. Amancio

Many complex systems can be represented as networks, and the problem of network comparison is becoming increasingly relevant. There are many techniques for network comparison, from simply comparing network summary statistics to…

Machine Learning · Statistics 2017-04-04 Anatol E. Wegner , Luis Ospina-Forero , Robert E. Gaunt , Charlotte M. Deane , Gesine Reinert

Networks play a prominent role in the study of complex systems of interacting entities in biology, sociology, and economics. Despite this diversity, we demonstrate here that a statistical model decomposing networks into matching and…

Physics and Society · Physics 2016-02-05 Rudolf P. Rohr , Russel E. Naisbit , Christian Mazza , Louix-Félix Bersier

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Methods for detecting community structure in networks typically aim to identify a single best partition of network nodes into communities, often by optimizing some objective function, but in real-world applications there may be many…

Social and Information Networks · Computer Science 2022-02-18 Alec Kirkley , M. E. J. Newman

The observed architecture of ecological and socio-economic networks differs significantly from that of random networks. From a network science standpoint, non-random structural patterns observed in real networks call for an explanation of…

Physics and Society · Physics 2019-05-30 Manuel Sebastian Mariani , Zhuo-Ming Ren , Jordi Bascompte , Claudio Juan Tessone

Networks in nature do not act in isolation but instead exchange information, and depend on each other to function properly. An incipient theory of Networks of Networks have shown that connected random networks may very easily result in…

We apply network science principles to analyze the coalitions formed by European Union (EU) nations and institutions during litigation proceedings at the European Court of Justice. By constructing Friends and Foes networks, we explore their…

Physics and Society · Physics 2023-06-06 R. Mastrandrea , G. Antuofermo , M. Ovadek , T. Y. -C. Yeung , A. Dyevre , G. Caldarelli

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

Due to the fact much of today's data can be represented as graphs, there has been a demand for generalizing neural network models for graph data. One recent direction that has shown fruitful results, and therefore growing interest, is the…

Social and Information Networks · Computer Science 2018-08-21 Tyler Derr , Yao Ma , Jiliang Tang

In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not…

Data Structures and Algorithms · Computer Science 2017-02-24 Yi Huang , Mano Vikash Janardhanan , Lev Reyzin

Nature is a blossoming of regular structures, signature of self-organization of the underlying microscopic interacting agents. Turing theory of pattern formation is one of the most studied mechanisms to address such phenomena and has been…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Lorenzo Giambagli , Hiroya Nakao , Duccio Fanelli , Timoteo Carletti

We study online social networks in which relationships can be either positive (indicating relations such as friendship) or negative (indicating relations such as opposition or antagonism). Such a mix of positive and negative links arise in…

Physics and Society · Physics 2010-03-15 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

Complex networks considering both positive and negative links have gained considerable attention during the past several years. Community detection is one of the main challenges for complex network analysis. Most of the existing algorithms…

Social and Information Networks · Computer Science 2014-03-28 Yi Chen , Xiao-long Wang , Bo Yuan , Bu-zhou Tang

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

Signed graphs are widely used to analyze complex systems such as social, political, and biological networks. The notion of balance, a key concept of signed graphs, reflects the stability of relationships. While it has been extensively…

Data Structures and Algorithms · Computer Science 2026-05-19 Zeyu Wang , Kudria Sergei , Jingbang Chen , Jiawei Chen , Xinyu Wang , Xiaodong Luo , Can Wang