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In ATM systems, the massive number of interacting entities makes it difficult to identify critical elements and paths of disturbance propagation, as well as to predict the system-wide effects that innovations might have. To this end,…

Physics and Society · Physics 2021-05-07 Piero Mazzarisi , Silvia Zaoli , Fabrizio Lillo , Luis Delgado , Gérald Gurtner

Corporations across the world are highly interconnected in a large global network of corporate control. This paper investigates the global board interlock network, covering 400,000 firms linked through 1,700,000 edges representing shared…

Social and Information Networks · Computer Science 2017-03-27 Frank W. Takes , Eelke M. Heemskerk

Centrality measures aim to indicate who is important in a network. Various notions of `being important' give rise to different centrality measures. In this paper, we study how important the central vertices are for the connectivity…

Probability · Mathematics 2024-11-20 Manish Pandey , Remco van der Hofstad

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

Identifying important actors (or nodes) in a two-mode network often remains a crucial challenge in mining, analyzing, and interpreting real-world networks. While traditional bipartite centrality indices are often used to recognize key nodes…

Social and Information Networks · Computer Science 2022-12-21 Mohamed-Hamza Ibrahim , Rokia Missaoui , Jean Vaillancourt

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

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

Despite the growing interest in characterizing the local geometry leading to the global topology of networks, our understanding of the local structure of complex networks, especially real-world networks, is still incomplete. Here, we…

Social and Information Networks · Computer Science 2020-12-08 Amirhossein Farzam , Areejit Samal , Jürgen Jost

Identifying influential nodes in a network is a fundamental issue due to its wide applications, such as accelerating information diffusion or halting virus spreading. Many measures based on the network topology have emerged over the years…

Social and Information Networks · Computer Science 2022-12-26 Zakariya Ghalmane , Mohammed El Hassouni , Chantal Cherifi , Hocine Cherifi

Many complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social…

Physics and Society · Physics 2013-11-12 Arda Halu , Raul J. Mondragon , Pietro Panzarasa , Ginestra Bianconi

Real-world complex systems exhibit multiple levels of relationships. In many cases they require to be modeled as interconnected multilayer networks, characterizing interactions of several types simultaneously. It is of crucial importance in…

Physics and Society · Physics 2024-12-06 Albert Solé-Ribalta , Manlio De Domenico , Sergio Gómez , Alex Arenas

In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

Physics and Society · Physics 2024-02-29 Lucas Böttcher , Mason A. Porter

We present a simple model to predict network activity at the edge level, by extending a known approximation method to compute Betweenness Centrality (BC) with a repulsive mechanism to prevent unphysical densities. By taking into account the…

Physics and Society · Physics 2023-12-06 Marco Cogoni , Giovanni Busonera

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

Structural analysis in network science is finding the information hidden from the topology structure of complex networks. Many methods have already been proposed in the research on the structural analysis of complex networks to find the…

Physics and Society · Physics 2024-02-22 Ronghao Deng , Meizhu Li , Qi Zhang

Centrality measures are crucial in quantifying the influence of the members of a social network. Although there has been a great deal of work dealing with this issue, the vast majority of classical centrality measures are agnostic of the…

Social and Information Networks · Computer Science 2022-02-01 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

We consider the problem of fuzzy community detection in networks, which complements and expands the concept of overlapping community structure. Our approach allows each vertex of the graph to belong to multiple communities at the same time,…

Physics and Society · Physics 2011-11-10 Tamás Nepusz , Andrea Petróczi , László Négyessy , Fülöp Bazsó

Many community detection algorithms require the introduction of a measure on the set of nodes. Previously, a lot of efforts have been made to find the top-performing measures. In most cases, experiments were conducted on several datasets or…

Social and Information Networks · Computer Science 2021-11-03 Rinat Aynulin

Nodes in networks may have one or more functions that determine their role in the system. As opposed to local proximity, which captures the local context of nodes, the role identity captures the functional "role" that nodes play in a…

Social and Information Networks · Computer Science 2021-11-18 Lili Wang , Chenghan Huang , Weicheng Ma , Ying Lu , Soroush Vosoughi

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