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Complex numbers define the relationship between entities in many situations. A canonical example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics. Recent years have seen an increasing interest to extend the tools…

Social and Information Networks · Computer Science 2023-07-06 Yu Tian , Renaud Lambiotte

The friendship paradox implies that a person will, on average, have fewer friends than their friends do. Prior work has shown how the friendship paradox can lead to perception biases regarding behaviors that correlate with the number of…

Social and Information Networks · Computer Science 2022-11-11 Ahmed Medhat , Shankar Iyer

Signed graphs, i.e., undirected graphs with edges labelled with a plus or minus sign, are commonly used to model relationships in social networks. Recently, Kermarrec and Thraves initiated the study of the problem of appropriately…

Data Structures and Algorithms · Computer Science 2012-01-10 Marek Cygan , Marcin Pilipczuk , Michał Pilipczuk , Jakub Onufry Wojtaszczyk

In typical online social networks, users are linked by symmetric friend relations and can define circles of friends based on shared interests. In this paper, we look at social networks where users form links subject to both friendships and…

Social and Information Networks · Computer Science 2019-11-26 Jun Zhao

Driven by growing interest in the sciences, industry, and among the broader public, a large number of empirical studies have been conducted in recent years of the structure of networks ranging from the internet and the world wide web to…

Social and Information Networks · Computer Science 2018-06-08 M. E. J. Newman

In empirical studies of friendship networks participants are typically asked, in interviews or questionnaires, to identify some or all of their close friends, resulting in a directed network in which friendships can, and often do, run in…

Social and Information Networks · Computer Science 2014-02-06 Brian Ball , M. E. J. Newman

Understanding the formation of social ties requires disentangling the roles of individual traits and local network structure. We analyse signed social relationships among 3,395 students using an interpretable machine learning model -- the…

Physics and Society · Physics 2026-04-10 María Pereda

Social networks and interactions in social media involve both positive and negative relationships. Signed graphs capture both types of relationships: positive edges correspond to pairs of "friends", and negative edges to pairs of "foes".…

Data Structures and Algorithms · Computer Science 2016-10-05 Michael Mitzenmacher , Charalampos E. Tsourakakis

Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced…

Social and Information Networks · Computer Science 2024-06-18 Jingbang Chen , Qiuyang Mang , Hangrui Zhou , Richard Peng , Yu Gao , Chenhao Ma

Strategic interactions between a group of individuals or organisations can be modelled as games played on networks, where a player's payoff depends not only on their actions but also on those of their neighbours. Inferring the network…

Machine Learning · Computer Science 2022-08-19 Emanuele Rossi , Federico Monti , Yan Leng , Michael M. Bronstein , Xiaowen Dong

Network models, in which psychopathological disorders are conceptualized as a complex interplay of psychological and biological components, have become increasingly popular in the recent psychopathological literature. These network models…

Neurons and Cognition · Quantitative Biology 2017-09-13 Sacha Epskamp , Joost Kruis , Maarten Marsman

Recent research has explored the increasingly important role of social media by examining the dynamics of individual and group behavior, characterizing patterns of information diffusion, and identifying influential individuals. In this…

Social and Information Networks · Computer Science 2011-10-13 Greg Ver Steeg , Aram Galstyan

This work is a study of the properties of collaboration networks employing the formalism of weighted graphs to represent their one-mode projection. The weight of the edges is directly the number of times that a partnership has been…

Physics and Society · Physics 2009-11-11 Jose J. Ramasco , Steven A. Morris

This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class…

Systems and Control · Computer Science 2019-03-28 Hao Chen , Daniel Zelazo , Xiangke Wang , Lincheng Shen

Deterministic complex networks that use iterative generation algorithms have been found to more closely mirror properties found in real world networks than the traditional uniform random graph models. In this paper we introduce a new,…

Combinatorics · Mathematics 2022-09-05 Erin Meger , Abigail Raz

Despite the tremendous advancements in the field of network theory, very few studies have taken weights in the interactions into consideration that emerge naturally in all real world systems. Using random matrix analysis of a weighted…

Physics and Society · Physics 2016-02-25 Camellia Sarkar , Sarika Jalan

Link prediction is one of the fundamental research problems in network analysis. Intuitively, it involves identifying the edges that are most likely to be added to a given network, or the edges that appear to be missing from the network…

Social and Information Networks · Computer Science 2018-09-10 Marcin Waniek , Kai Zhou , Yevgeniy Vorobeychik , Esteban Moro , Tomasz P. Michalak , Talal Rahwan

Signed networks allow us to model conflicting relationships and interactions, such as friend/enemy and support/oppose. These signed interactions happen in real-time. Modeling such dynamics of signed networks is crucial to understanding the…

Social and Information Networks · Computer Science 2023-02-07 Kartik Sharma , Mohit Raghavendra , Yeon Chang Lee , Anand Kumar M , Srijan Kumar

In this work we analyze traces of mobility and co-location among a group of nearly 1000 closely interacting individuals. We attempt to reconstruct the Facebook friendship graph, Facebook interaction network, as well as call and SMS networks…

Computers and Society · Computer Science 2018-11-12 Piotr Sapiezynski , Arkadiusz Stopczynski , David Kofoed Wind , Jure Leskovec , Sune Lehmann

Signed graphs are well-suited for modeling social networks as they capture both positive and negative relationships. Signed graph neural networks (SGNNs) are commonly employed to predict link signs (i.e., positive and negative) in such…

Cryptography and Security · Computer Science 2024-05-14 Jialong Zhou , Yuni Lai , Jian Ren , Kai Zhou