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The identification of the set of k most central nodes of a graph, or centrality maximization, is a key task in network analysis, with various applications ranging from finding communities in social and biological networks to understanding…

Social and Information Networks · Computer Science 2023-06-07 Leonardo Pellegrina

This paper initiates the studies of parallel algorithms for core maintenance in dynamic graphs. The core number is a fundamental index reflecting the cohesiveness of a graph, which are widely used in large-scale graph analytics. The core…

Data Structures and Algorithms · Computer Science 2017-01-02 Na Wang , Dongxiao Yu , Hai Jin , Chen Qian , Xia Xie , Qiang-Sheng Hua

Many Entity Linking systems use collective graph-based methods to disambiguate the entity mentions within a document. Most of them have focused on graph construction and initial weighting of the candidate entities, less attention has been…

Computation and Language · Computer Science 2017-12-04 Hussam Hamdan , Jean-Gabriel Ganascia

Finding the shortest path between two points in a graph is a fundamental problem that has been well-studied over the past several decades. Shortest path algorithms are commonly applied to modern navigation systems, so our study aims to…

Data Structures and Algorithms · Computer Science 2022-08-02 Kevin Y. Chen

Networks are inherently vulnerable to vertex failures, making the analysis of their structural robustness a fundamental problem in graph theory. In this study, we investigate the closeness and vertex residual closeness of graphs, with a…

Discrete Mathematics · Computer Science 2026-04-14 Hande Tuncel Golpek , Mehmet Ali Bilici , Aysun Aytac

A major problem of making friend suggestions in social networks is the large size of social graphs, which can have hundreds of millions of people and tens of billions of connections. Classic methods based on heuristics or factorizations are…

Social and Information Networks · Computer Science 2024-12-17 Evgeny Zamyatin

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

Finding small vertex covers in a graph has applications in numerous domains. Two common formulations of the problem include: Minimum Vertex Cover, which finds the smallest vertex cover in a graph, and Parameterized Vertex Cover, which finds…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-25 Peter Yamout , Karim Barada , Adnan Jaljuli , Amer E. Mouawad , Izzat El Hajj

Link prediction appears as a central problem of network science, as it calls for unfolding the mechanisms that govern the micro-dynamics of the network. In this work, we are interested in ego-networks, that is the mere information of…

Social and Information Networks · Computer Science 2015-12-16 Lionel Tabourier , Anne-Sophie Libert , Renaud Lambiotte

We study trade-offs presented by local search algorithms in complex networks which are heterogeneous in edge weights and node degree. We show that search based on a network measure, local betweenness centrality (LBC), utilizes the…

Statistical Mechanics · Physics 2007-05-23 Hari P. Thadakamalla , Reka Albert , Soundar R. T. Kumara

A popular model to measure network stability is the $k$-core, that is the maximal induced subgraph in which every vertex has degree at least $k$. For example, $k$-cores are commonly used to model the unraveling phenomena in social networks.…

Data Structures and Algorithms · Computer Science 2020-07-08 Fedor V. Fomin , Danil Sagunov , Kirill Simonov

Closeness is an important centrality measure widely used in the analysis of real-world complex networks. In particular, the problem of selecting the k most central nodes with respect to this measure has been deeply analyzed in the last…

Data Structures and Algorithms · Computer Science 2015-07-07 Michele Borassi , Pierluigi Crescenzi , Andrea Marino

In network analysis, the betweenness centrality of a node informally captures the fraction of shortest paths visiting that node. The computation of the betweenness centrality measure is a fundamental task in the analysis of modern networks,…

Social and Information Networks · Computer Science 2022-03-02 Diego Santoro , Ilie Sarpe

In graph-based applications, a common task is to pinpoint the most important or ``central'' vertex in a (directed or undirected) graph, or rank the vertices of a graph according to their importance. To this end, a plethora of so-called…

Artificial Intelligence · Computer Science 2023-02-28 Andreas Pieris , Jorge Salas

Bipartite graphs are a prevalent modeling tool for real-world networks, capturing interactions between vertices of two different types. Within this framework, bicliques emerge as crucial structures when studying dense subgraphs: they are…

Data Structures and Algorithms · Computer Science 2024-05-27 Alexis Baudin , Clémence Magnien , Lionel Tabourier

From many datasets gathered in online social networks, well defined community structures have been observed. A large number of users participate in these networks and the size of the resulting graphs poses computational challenges. There is…

Social and Information Networks · Computer Science 2014-01-15 Alexander V. Mantzaris

Finding $k$-cores in graphs is a valuable and effective strategy for extracting dense regions of otherwise sparse graphs. We focus on the important problem of maintaining cores on rapidly changing dynamic graphs, where batches of edge…

Data Structures and Algorithms · Computer Science 2022-03-25 Kasimir Gabert , Ali Pınar , Ümit V. Çatalyürek

Machine learning and data mining algorithms have been increasingly used recently to support decision-making systems in many areas of high societal importance such as healthcare, education, or security. While being very efficient in their…

Machine Learning · Computer Science 2020-11-02 Charlotte Laclau , Ievgen Redko , Manvi Choudhary , Christine Largeron

Random geometric networks consist of 1) a set of nodes embedded randomly in a bounded domain $\mathcal{V} \subseteq \mathbb{R}^d$ and 2) links formed probabilistically according to a function of mutual Euclidean separation. We quantify how…

Social and Information Networks · Computer Science 2016-11-17 Alexander P. Kartun-Giles , Orestis Georgiou , Carl P. Dettmann

A class of centrality measures called betweenness centralities reflects degree of participation of edges or nodes in communication between different parts of the network. The original shortest-path betweenness centrality is based on…

Social and Information Networks · Computer Science 2013-08-13 Konstantin Avrachenkov , Nelly Litvak , Vasily Medyanikov , Marina Sokol
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