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Centrality metrics are a popular tool in Network Science to identify important nodes within a graph. We introduce the Potential Gain as a centrality measure that unifies many walk-based centrality metrics in graphs and captures the notion…

Social and Information Networks · Computer Science 2020-03-16 Pasquale De Meo , Mark Levene , Fabrizio Messina , Alessandro Provetti

Identifying central entities and interactions is a fundamental problem in network science. While well-studied for graphs (pairwise relations), many biological and social systems exhibit higher-order interactions best modeled by hypergraphs.…

Physics and Society · Physics 2025-12-02 Jaewan Chun , Fanchen Bu , Yeongho Kim , Atsushi Miyauchi , Francesco Bonchi , Kijung Shin

Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including…

Physics and Society · Physics 2020-04-13 Naoki Masuda , Mason A. Porter , Renaud Lambiotte

Group polarization, the phenomenon where individuals become more extreme after interacting, has been gaining attention, especially with the rise of social media shaping people's opinions. Recent interest has emerged in formal reasoning…

Logic in Computer Science · Computer Science 2024-05-03 Robert Freiman , Carlos Olarte , Elaine Pimentel , Christian G. Fermüller

Several centrality measures have been formulated to quantify the notion of 'importance' of actors in social networks. Current measures scrutinize either local or global connectivity of the nodes and have been found to be inadequate for…

Social and Information Networks · Computer Science 2018-06-26 Rakhi Saxena , Sharanjit Kaur , Vasudha Bhatnagar

Recognizing similarities among entities is central to both human cognition and computational intelligence. Within this broader landscape, Entity Set Expansion is one prominent task aimed at taking an initial set of (tuples of) entities and…

Artificial Intelligence · Computer Science 2026-01-08 Giovanni Amendola , Pietro Cofone , Marco Manna , Aldo Ricioppo

We develop a new approach to the study of the dynamics of link utilization in complex networks using records of communication in a large social network. Counter to the perspective that nodes have particular roles, we find roles change…

Physics and Society · Physics 2007-05-23 Dan Braha , Yaneer Bar-Yam

Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new…

Social and Information Networks · Computer Science 2018-02-16 Qian Zhang , Márton Karsai , Alessandro Vespignani

Finding the important nodes in complex networks by topological structure is of great significance to network invulnerability. Several centrality measures have been proposed recently to evaluate the performance of nodes based on their…

Social and Information Networks · Computer Science 2021-02-23 Pengli Lu , Chen Dong , Yuhong Guo

Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be…

Methodology · Statistics 2020-01-13 Giulia Bertagnolli , Claudio Agostinelli , Manlio De Domenico

The identification of the most influential spreaders in networks is important to control and understand the spreading capabilities of the system as well as to ensure an efficient information diffusion such as in rumor-like dynamics. Recent…

Temporal networks, i.e., networks in which the interactions among a set of elementary units change over time, can be modelled in terms of time-varying graphs, which are time-ordered sequences of graphs over a set of nodes. In such graphs,…

Physics and Society · Physics 2013-06-04 Vincenzo Nicosia , John Tang , Cecilia Mascolo , Mirco Musolesi , Giovanni Russo , Vito Latora

In this paper we introduce the functional centrality as a generalization of the subgraph centrality. We propose a general method for characterizing nodes in the graph according to the number of closed walks starting and ending at the node.…

Combinatorics · Mathematics 2007-05-23 J. A. Rodriguez , E. Estrada , A. Gutierrez

There are different ways to define similarity for grouping similar texts into clusters, as the concept of similarity may depend on the purpose of the task. For instance, in topic extraction similar texts mean those within the same semantic…

Computation and Language · Computer Science 2013-03-05 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

Social and Information Networks · Computer Science 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

We study the popular centrality measure known as effective conductance or in some circles as information centrality. This is an important notion of centrality for undirected networks, with many applications, e.g., for random walks,…

Data Analysis, Statistics and Probability · Physics 2018-08-15 Heman Shakeri , Behnaz Moradi-Jamei , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio

Spanning Centrality is a measure used in network analysis to determine the importance of an edge in a graph based on its contribution to the connectivity of the entire network. Specifically, it quantifies how critical an edge is in terms of…

Social and Information Networks · Computer Science 2025-03-25 Gökhan Göktürk , Kamer Kaya

Centrality describes the importance of nodes in a graph and is modeled by various measures. Its global analogue, called centralization, is a general formula for calculating a graph-level centrality score based on the node-level centrality…

Social and Information Networks · Computer Science 2022-05-03 Jose Mari E. Ortega , Rolito G. Eballe

Identifying the central people in information flow networks is essential to understanding how people communicate and coordinate as well as who controls the information flows in the network. However, the appropriate usage of centrality…

Social and Information Networks · Computer Science 2018-12-17 Chintan Amrit , Joanne ter Maat

In network analysis and graph mining, closeness centrality is a popular measure to infer the importance of a vertex. Computing closeness efficiently for individual vertices received considerable attention. The NP-hard problem of group…

Data Structures and Algorithms · Computer Science 2019-11-11 Eugenio Angriman , Alexander van der Grinten , Henning Meyerhenke