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In the study of the behavior of centrality measures with respect to network modifications, score monotonicity means that adding an arc increases the centrality score of the target of the arc; rank monotonicity means that adding an arc…

Social and Information Networks · Computer Science 2023-11-30 Paolo Boldi , Davide D'Ascenzo , Flavio Furia , Sebastiano Vigna

Estimating influential nodes in large scale networks including but not limited to social networks, biological networks, communication networks, emerging smart grids etc. is a topic of fundamental interest. To understand influences of nodes…

Social and Information Networks · Computer Science 2014-06-13 Sima Das

Betweenness centrality quantifies the importance of a vertex for the information flow in a network. We propose a flexible definition of betweenness for temporal multiplexes, where geodesics are determined accounting for the topological and…

Physics and Society · Physics 2020-02-04 Silvia Zaoli , Piero Mazzarisi , Fabrizio Lillo

Betweenness centrality (BC) is a crucial graph problem that measures the significance of a vertex by the number of shortest paths leading through it. We propose Maximal Frontier Betweenness Centrality (MFBC): a succinct BC algorithm based…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-10 Edgar Solomonik , Maciej Besta , Flavio Vella , Torsten Hoefler

Influence Maximization is a NP-hard problem of selecting the optimal set of influencers in a network. Here, we propose two new approaches to influence maximization based on two very different metrics. The first metric, termed Balanced Index…

Social and Information Networks · Computer Science 2019-12-02 Panagiotis D. Karampourniotis , Boleslaw K. Szymanski , Gyorgy Korniss

Identifying influential nodes in a network is a major issue due to the great deal of applications concerned, such as disease spreading and rumor dynamics. That is why, a plethora of centrality measures has emerged over the years in order to…

Social and Information Networks · Computer Science 2023-01-04 Ahmed Ibnoulouafi , Mohamed El Haziti , Hocine Cherifi

We study the blind centrality ranking problem, where our goal is to infer the eigenvector centrality ranking of nodes solely from nodal observations, i.e., without information about the topology of the network. We formalize these nodal…

Social and Information Networks · Computer Science 2019-10-25 T. Mitchell Roddenberry , Santiago Segarra

An important index widely used to analyze social and information networks is betweenness centrality. In this paper, first given a directed network $G$ and a vertex $r\in V(G)$, we present a novel adaptive algorithm for estimating…

Data Structures and Algorithms · Computer Science 2018-10-25 Mostafa Haghir Chehreghani , Albert Bifet , Talel Abdessalem

The betweenness centrality of a vertex v is an important centrality measure that quantifies how many optimal paths between pairs of other vertices visit v. Computing betweenness centrality in a temporal graph, in which the edge set may…

Data Structures and Algorithms · Computer Science 2023-02-23 Jessica Enright , Kitty Meeks , Hendrik Molter

This paper presents a new decision support system offered for an in-depth analysis of semantic networks, which can provide insights for a better exploration of a brand's image and the improvement of its connectivity. In terms of network…

Social and Information Networks · Computer Science 2024-07-26 J. Cancellieri , W. Didimo , A. Fronzetti Colladon , F. Montecchiani , R. Vestrelli

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

Betweenness Centrality (BC) is steadily growing in popularity as a metrics of the influence of a vertex in a graph. The BC score of a vertex is proportional to the number of all-pairs-shortest-paths passing through it. However, complete and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-22 Flavio Vella , Giancarlo Carbone , Massimo Bernaschi

Bu{\ss} et al [KDD 2020] recently proved that the problem of computing the betweenness of all nodes of a temporal graph is computationally hard in the case of foremost and fastest paths, while it is solvable in time O(n 3 T 2 ) in the case…

Data Structures and Algorithms · Computer Science 2025-01-23 Filippo Brunelli , Pierluigi Crescenzi , Laurent Viennot

Betweenness centrality lies at the core of both transport and structural vulnerability properties of complex networks, however, it is computationally costly, and its measurement for networks with millions of nodes is near impossible. By…

Physics and Society · Physics 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai

Ranking node importance is crucial in understanding network structure and function on complex networks. Degree, h-index and coreness are widely used, but which one is more proper to a network associated with a dynamical process, e.g. SIR…

Physics and Society · Physics 2018-12-31 Senbin Yu , Liang Gao , Yi-Fan Wang

Closeness is a widely-used centrality measure in social network analysis. For a node it indicates the reciprocal of the average shortest-path distance to the other nodes of the network. While the identification of the k nodes with highest…

Data Structures and Algorithms · Computer Science 2019-05-16 Elisabetta Bergamini , Tanya Gonser , Henning Meyerhenke

Computing node importance in networks is a long-standing fundamental problem that has driven extensive study of various centrality measures. A particularly well-known centrality measure is betweenness centrality, which becomes…

Betweenness centrality has been extensively studied since its introduction in 1977 as a measure of node importance in graphs. This measure has found use in various applications and has been extended to temporal graphs with time-labeled…

Data Structures and Algorithms · Computer Science 2024-02-13 Mehdi Naima

Betweenness centrality (BC) was proposed as an indicator of the extent of an individual's influence in a social network. It is measured by counting how many times a vertex (i.e., an individual) appears on all the shortest paths between…

Physics and Society · Physics 2021-06-23 Jongshin Lee , Yongsun Lee , Soo Min Oh , B. Kahng

The identification of nodes occupying important positions in a network structure is crucial for the understanding of the associated real-world system. Usually, betweenness centrality is used to evaluate a node capacity to connect different…