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In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

Physics and Society · Physics 2024-02-29 Lucas Böttcher , Mason A. Porter

Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There is, however, a subtle difference between networks where weights are continuos…

Physics and Society · Physics 2013-12-06 Oleguer Sagarra , Conrad J. Pérez-Vicente , Albert Dïaz-Guilera

The association between tie strength and social structure is a fundamental topic in the social sciences. We study this association by analyzing tie strength in higher-order networks, an increasingly relevant model which can encode group…

Social and Information Networks · Computer Science 2024-09-26 Arnab Sarker , Jean-Baptiste Seby , Austin R. Benson , Ali Jadbabaie

We propose a communication-driven mechanism for predicting triadic closure in complex networks. It is mathematically formulated on the basis of communicability distance functions that account for the quality of communication between nodes…

Social and Information Networks · Computer Science 2015-05-08 Ernesto Estrada , Francesca Arrigo

Although community detection has drawn tremendous amount of attention across the sciences in the past decades, no formal consensus has been reached on the very nature of what qualifies a community as such. In this article we take an…

Social and Information Networks · Computer Science 2011-07-19 Adrien Friggeri , Guillaume Chelius , Eric Fleury

Networks provide a popular representation of complex data. Often, different types of relational measurements are taken on the same subjects. Such data can be represented as a \textit{multislice network}, a collection of networks on the same…

Probability · Mathematics 2025-04-02 Kevin Ren , Tara Trauthwein , Gesine Reinert

Structural balance in social network theory starts from signed networks with active relationships (friendly or hostile) to establish a hierarchy between four different types of triadic relationships. The lack of an active link also provides…

Based on an expert systems approach, the issue of community detection can be conceptualized as a clustering model for networks. Building upon this further, community structure can be measured through a clustering coefficient, which is…

Social and Information Networks · Computer Science 2019-04-12 Roy Cerqueti , Giovanna Ferraro , Antonio Iovanella

Signed directed social networks, in which the relationships between users can be either positive (indicating relations such as trust) or negative (indicating relations such as distrust), are increasingly common. Thus the interplay between…

Social and Information Networks · Computer Science 2014-08-29 Dongjin Song , David A. Meyer

On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

Physics and Society · Physics 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona

Network homophily, the tendency of similar nodes to be connected, and transitivity, the tendency of two nodes being connected if they share a common neighbor, are conflated properties in network analysis, since one mechanism can drive the…

Social and Information Networks · Computer Science 2022-01-07 Tiago P. Peixoto

Link prediction algorithms can help to understand the structure and dynamics of complex systems, to reconstruct networks from incomplete data sets and to forecast future interactions in evolving networks. Available algorithms based on…

Social and Information Networks · Computer Science 2020-11-19 Alberto Aleta , Marta Tuninetti , Daniela Paolotti , Yamir Moreno , Michele Starnini

Graphs are used to model interactions in a variety of contexts, and there is a growing need to quickly assess the structure of a graph. Some of the most useful graph metrics, especially those measuring social cohesion, are based on…

Social and Information Networks · Computer Science 2014-04-22 C. Seshadhri , Ali Pinar , Tamara G. Kolda

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

Recent work studying triadic closure in undirected graphs has drawn attention to the distinction between measures that focus on the "center" node of a wedge (i.e., length-2 path) vs. measures that focus on the "initiator," a distinction…

Social and Information Networks · Computer Science 2020-10-14 Hao Yin , Austin R. Benson , Johan Ugander

Many real-world complex systems consist of a set of elementary units connected by relationships of different kinds. All such systems are better described in terms of multiplex networks, where the links at each layer represent a different…

Physics and Society · Physics 2014-03-17 Federico Battiston , Vincenzo Nicosia , Vito Latora

The tendency for individuals to form social ties with others who are similar to themselves, known as homophily, is one of the most robust sociological principles. Since this phenomenon can lead to patterns of interactions that segregate…

Social and Information Networks · Computer Science 2022-05-30 Rediet Abebe , Nicole Immorlica , Jon Kleinberg , Brendan Lucier , Ali Shirali

The community plays a crucial role in understanding user behavior and network characteristics in social networks. Some users can use multiple social networks at once for a variety of objectives. These users are called overlapping users who…

Social and Information Networks · Computer Science 2024-05-08 Ziqing Zhu , Guan Yuan , Tao Zhou , Jiuxin Cao

Signed networks contain edge annotations to indicate whether each interaction is friendly (positive edge) or antagonistic (negative edge). The model is simple but powerful and it can capture novel and interesting structural properties of…

Data Structures and Algorithms · Computer Science 2019-10-08 Francesco Bonchi , Edoardo Galimberti , Aristides Gionis , Bruno Ordozgoiti , Giancarlo Ruffo