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Social networks have become an inseparable part of human life and processing them in an efficient manner is a top priority in the study of networks. These networks are highly dynamic and they are growing incessantly. Inspired by the concept…

Social and Information Networks · Computer Science 2020-12-04 Sara Ahmadian , Shahrzad Haddadan

Triadic closure has been conceptualized and measured in a variety of ways, most famously the clustering coefficient. Existing extensions to affiliation networks, however, are sensitive to repeat group attendance, which manifests in…

Combinatorics · Mathematics 2016-06-27 Jason Cory Brunson

Most of the complex social, technological and biological networks have a significant community structure. Therefore the community structure of complex networks has to be considered as a universal property, together with the much explored…

Physics and Society · Physics 2014-12-02 Ginestra Bianconi , Richard K. Darst , Jacopo Iacovacci , Santo Fortunato

Applying the concept of triadic closure to coauthorship networks means that scholars are likely to publish a joint paper if they have previously coauthored with the same people. Prior research has identified moderate to high (20% to 40%)…

Social and Information Networks · Computer Science 2021-02-08 Jinseok Kim , Jana Diesner

Multi-edge networks capture repeated interactions between individuals. In social networks, such edges often form closed triangles, or triads. Standard approaches to measure this triadic closure, however, fail for multi-edge networks,…

Social and Information Networks · Computer Science 2021-02-24 Laurence Brandenberger , Giona Casiraghi , Vahan Nanumyan , Frank Schweitzer

As a classical problem in the field of complex networks, link prediction has attracted much attention from researchers, which is of great significance to help us understand the evolution and dynamic development mechanisms of networks.…

Physics and Society · Physics 2022-06-07 Jiating Yu , Ling-Yun Wu

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

A fundamental problem in the study of complex networks is to provide quantitative measures of correlation and information flow between different parts of a system. To this end, several notions of communicability have been introduced and…

Physics and Society · Physics 2015-04-08 Ernesto Estrada , Naomichi Hatano , Michele Benzi

The study of triangles in graphs is a standard tool in network analysis, leading to measures such as the \emph{transitivity}, i.e., the fraction of paths of length $2$ that participate in triangles. Real-world networks are often directed,…

Social and Information Networks · Computer Science 2014-04-25 C. Seshadhri , Ali Pinar , Nurcan Durak , Tamara G. Kolda

The formation of triangles in complex networks is an important network property that has received tremendous attention. The formation of triangles is often studied through the clustering coefficient. The closure coefficient or transitivity…

Physics and Society · Physics 2020-06-11 Clara Stegehuis

Much of the structure in social networks has been explained by two seemingly independent network evolution mechanisms: triadic closure and homophily. While it is common to consider these mechanisms separately or in the frame of a static…

Physics and Society · Physics 2021-04-28 Aili Asikainen , Gerardo Iñiguez , Kimmo Kaski , Mikko Kivelä

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

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

Many topological and dynamical properties of complex networks are defined by assuming that most of the transport on the network flows along the shortest paths. However, there are different scenarios in which non-shortest paths are used to…

Physics and Society · Physics 2008-12-16 Ernesto Estrada , Naomichi Hatano

Networks of social interactions are the substrate upon which civilizations are built. Often, we create new bonds with people that we like or feel that our relationships are damaged through the intervention of third parties. Despite their…

Social and Information Networks · Computer Science 2023-04-12 Miguel Ruíz-García , Juan Ozaita , María Pereda , Antonio Alfonso , Pablo Brañas-Garza , Jose A. Cuesta , Ángel Sánchez

Triadic closure, the formation of a connection between two nodes in a network sharing a common neighbor, is considered a fundamental mechanism determining the clustered nature of many real-world topologies. In this work we define a static…

Physics and Society · Physics 2024-02-16 Lorenzo Cirigliano , Claudio Castellano , Gareth Baxter , Gábor Timár

We introduce the concept of communicability angle between a pair of nodes in a graph. We provide strong analytical and empirical evidence that the average communicability angle for a given network accounts for its spatial efficiency on the…

Physics and Society · Physics 2015-07-30 Ernesto Estrada , Naomichi Hatano

We present a method aimed to compute the communicability (broadcast and receive) of nodes through causal paths in temporal networks. The method considers all possible combinations of chronologically ordered products of adjacency matrices of…

Physics and Society · Physics 2022-02-07 Agostino Funel

Traditional network generation models attempt to replicate global structural properties (degree distribution, average distance, clustering coefficient, communities, etc.) through synthetic link formation mechanisms such as triadic closure…

Social and Information Networks · Computer Science 2013-10-14 Erick Stattner , Martine Collard

Recent advances in the study of networked systems have highlighted that our interconnected world is composed of networks that are coupled to each other through different "layers" that each represent one of many possible subsystems or types…

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