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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

Content spread inequity is a potential unfairness issue in online social networks, disparately impacting minority groups. In this paper, we view friendship suggestion, a common feature in social network platforms, as an opportunity to…

Social and Information Networks · Computer Science 2022-12-22 Ian P. Swift , Sana Ebrahimi , Azade Nova , Abolfazl Asudeh

The centrality of a vertex v in a network intuitively captures how important v is for communication in the network. The task of improving the centrality of a vertex has many applications, as a higher centrality often implies a larger impact…

Discrete Mathematics · Computer Science 2017-10-05 Clemens Hoffmann , Hendrik Molter , Manuel Sorge

Centrality measures, quantifying the importance of vertices or edges, play a fundamental role in network analysis. To date, triggered by some positive approximability results, a large body of work has been devoted to studying centrality…

Social and Information Networks · Computer Science 2024-02-13 Atsushi Miyauchi , Lorenzo Severini , Francesco Bonchi

Betweenness centrality ranks the importance of nodes by their participation in all shortest paths of the network. Therefore computing exact betweenness values is impractical in large networks. For static networks, approximation based on…

Social and Information Networks · Computer Science 2014-09-23 Elisabetta Bergamini , Henning Meyerhenke , Christian L. Staudt

Betweenness is a well-known centrality measure that ranks the nodes according to their participation in the shortest paths of a network. In several scenarios, having a high betweenness can have a positive impact on the node itself. Hence,…

Data Structures and Algorithms · Computer Science 2018-08-02 Elisabetta Bergamini , Pierluigi Crescenzi , Gianlorenzo D'Angelo , Henning Meyerhenke , Lorenzo Severini , Yllka Velaj

Finding central nodes is a fundamental problem in network analysis. Betweenness centrality is a well-known measure which quantifies the importance of a node based on the fraction of shortest paths going though it. Due to the dynamic nature…

Data Structures and Algorithms · Computer Science 2017-04-28 Elisabetta Bergamini , Henning Meyerhenke , Mark Ortmann , Arie Slobbe

In this paper, the investigation is first motivated by showing two examples of simple regular symmetrical graphs, which have the same structural parameters, such as average distance, degree distribution and node betweenness centrality, but…

Combinatorics · Mathematics 2007-06-21 Zhisheng Duan , Guanrong Chen , Lin Huang

We consider the problem of adding a fixed number of new edges to an undirected graph in order to minimize the diameter of the augmented graph, and under the constraint that the number of edges added for each vertex is bounded by an integer.…

Data Structures and Algorithms · Computer Science 2023-02-14 Florian Adriaens , Aristides Gionis

The problem of increasing the centrality of a network node arises in many practical applications. In this paper, we study the optimization problem of maximizing the information centrality $I_v$ of a given node $v$ in a network with $n$…

Social and Information Networks · Computer Science 2018-04-19 Liren Shan , Yuhao Yi , Zhongzhi Zhang

Betweenness is a well-known centrality measure that ranks the nodes of a network according to their participation in shortest paths. Since an exact computation is prohibitive in large networks, several approximation algorithms have been…

Data Structures and Algorithms · Computer Science 2015-10-28 Elisabetta Bergamini , Henning Meyerhenke

Centrality metrics are among the main tools in social network analysis. Being central for a user of a network leads to several benefits to the user: central users are highly influential and play key roles within the network. Therefore, the…

Data Structures and Algorithms · Computer Science 2018-11-13 Gianlorenzo D'Angelo , Martin Olsen , Lorenzo Severini

The problem of measuring similarity of graphs and their nodes is important in a range of practical problems. There is a number of proposed measures, some of them being based on iterative calculation of similarity between two graphs and the…

Artificial Intelligence · Computer Science 2010-09-28 Mladen Nikolic

In the NP-hard \textsc{Group Closeness Centrality Maximization} problem, the input is a graph $G = (V,E)$ and a positive integer $k$, and the task is to find a set $S \subseteq V$ of size $k$ that maximizes the reciprocal of group farness…

Data Structures and Algorithms · Computer Science 2026-03-27 Christian Schulz , Jakob Ternes , Henning Woydt

Extracting information from real-world large networks is a key challenge nowadays. For instance, computing a node centrality may become unfeasible depending on the intended centrality due to its computational cost. One solution is to…

Social and Information Networks · Computer Science 2020-11-30 Matheus R. F. Mendonça , André M. S. Barreto , Artur Ziviani

In social networks, a node's position is a form of \it{social capital}. Better-positioned members not only benefit from (faster) access to diverse information, but innately have more potential influence on information spread. Structural…

Social and Information Networks · Computer Science 2022-09-19 Ashkan Bashardoust , Sorelle A. Friedler , Carlos E. Scheidegger , Blair D. Sullivan , Suresh Venkatasubramanian

Fairness in influence maximization has been a very active research topic recently. Most works in this context study the question of how to find seeding strategies (deterministic or probabilistic) such that nodes or communities in the…

Social and Information Networks · Computer Science 2023-02-28 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

Closeness is a widely-studied centrality measure. Since it requires all pairwise distances, computing closeness for all nodes is infeasible for large real-world networks. However, for many applications, it is only necessary to find the k…

Data Structures and Algorithms · Computer Science 2017-10-04 Patrick Bisenius , Elisabetta Bergamini , Eugenio Angriman , Henning Meyerhenke

Graph Neural Networks (GNNs) have proven to excel in predictive modeling tasks where the underlying data is a graph. However, as GNNs are extensively used in human-centered applications, the issue of fairness has arisen. While edge deletion…

Machine Learning · Computer Science 2022-02-17 Donald Loveland , Jiayi Pan , Aaresh Farrokh Bhathena , Yiyang Lu
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