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Complex networks or graphs provide a powerful framework to understand importance of individuals and their interactions in real-world complex systems. Several graph theoretical measures have been introduced to access importance of the…

Physics and Society · Physics 2020-04-08 Priodyuti Pradhan , Angeliya C. U. , Sarika Jalan

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

Social and Information Networks · Computer Science 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

Social and Information Networks · Computer Science 2020-11-12 Giuseppe Pirrò

Here we present a range-limited approach to centrality measures in both non-weighted and weighted directed complex networks. We introduce an efficient method that generates for every node and every edge its betweenness centrality based on…

Physics and Society · Physics 2011-11-24 Maria Ercsey-Ravasz , Ryan Lichtenwalter , Nitesh V. Chawla , Zoltan Toroczkai

A very interesting matter of Network Science is assessing how complex a given network is. In other words, by how much does such a network departs from any general patterns which could be evoked for its description. Among other choices,…

Social and Information Networks · Computer Science 2020-11-03 Roger S. Passos , Douglas O. Cardoso

Centrality measures quantify the importance of a node in a network based on different geometric or diffusive properties, and focus on different scales. Here, we adopt a geometrical viewpoint to define a multi-scale centrality in networks.…

Physics and Society · Physics 2022-09-21 Shazia'Ayn Babul , Karel Devriendt , Renaud Lambiotte

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

Numerous centrality measures have been proposed to evaluate the importance of nodes in networks, yet comparative analyses of these measures remain limited. Based on 80 real-world networks, we conducted an empirical analysis of 16…

Other Statistics · Statistics 2025-08-14 Yilin Bi , Xinshan Jiao , Tao Zhou

Embedding graph nodes into a vector space can allow the use of machine learning to e.g. predict node classes, but the study of node embedding algorithms is immature compared to the natural language processing field because of a diverse…

Machine Learning · Computer Science 2018-02-20 Kento Nozawa , Masanari Kimura , Atsunori Kanemura

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

Social and Information Networks · Computer Science 2013-11-08 Paolo Boldi , Sebastiano Vigna

We introduce a new measure of centrality, the information centrality C^I, based on the concept of efficient propagation of information over the network. C^I is defined for both valued and non-valued graphs, and applies to groups and classes…

Other Condensed Matter · Physics 2007-05-23 Vito Latora , Massimo Marchiori

Random walk centrality is a fundamental metric in graph mining for quantifying node importance and influence, defined as the weighted average of hitting times to a node from all other nodes. Despite its ability to capture rich graph…

Artificial Intelligence · Computer Science 2025-10-24 Changan Liu , Zixuan Xie , Ahad N. Zehmakan , Zhongzhi Zhang

Identifying the most influential spreaders is an important issue in controlling the spreading processes in complex networks. Centrality measures are used to rank node influence in a spreading dynamics. Here we propose a node influence…

Physics and Society · Physics 2016-03-23 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

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

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

Centrality represents a fundamental research field in complex network analysis, where centrality measures identify important vertices within networks. Over the years, researchers have developed diverse centrality measures from varied…

Social and Information Networks · Computer Science 2025-06-10 Zhang Qingying , Sun Lizhu , Bu Changjiang

We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges,…

Physics and Society · Physics 2025-03-13 Stefano Cipolla , Fabio Durastante , Beatrice Meini

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

Complex networks are characterized by heterogeneous distributions of the degree of nodes, which produce a large diversification of the roles of the nodes within the network. Several centrality measures have been introduced to rank nodes…

Physics and Society · Physics 2009-11-13 Nicola Perra , Santo Fortunato