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In this paper, we study the $\lambda$-centdian problem in the domain of Network Design. The focus is on designing a sub-network within a given underlying network while adhering to a budget constraint. This sub-network is intended to…

Optimization and Control · Mathematics 2025-06-19 Víctor Bucarey , Natividad González-Blanco , Martine Labbé , Juan A. Mesa

Network Design problems typically ask for a minimum cost sub-network from a given host network. This classical point-of-view assumes a central authority enforcing the optimum solution. But how should networks be designed to cope with…

Computer Science and Game Theory · Computer Science 2021-04-26 Wilhelm Friedemann , Tobias Friedrich , Hans Gawendowicz , Pascal Lenzner , Anna Melnichenko , Jannik Peters , Daniel Stephan , Michael Vaichenker

Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be…

Methodology · Statistics 2020-01-13 Giulia Bertagnolli , Claudio Agostinelli , Manlio De Domenico

Network analysis has emerged as a key technique in communication studies, economics, geography, history and sociology, among others. A fundamental issue is how to identify key nodes, for which purpose a number of centrality measures have…

Social and Information Networks · Computer Science 2018-01-08 László Csató

Centrality is an important notion in network analysis and is used to measure the degree to which network structure contributes to the importance of a node in a network. While many different centrality measures exist, most of them apply to…

Computers and Society · Computer Science 2010-06-04 Kristina Lerman , Rumi Ghosh , Jeon Hyung Kang

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

The network embedding problem aims to map nodes that are similar to each other to vectors in a Euclidean space that are close to each other. Like centrality analysis (ranking) and community detection, network embedding is in general…

Social and Information Networks · Computer Science 2019-04-26 Cheng-Shang Chang , Ching-Chu Huang , Chia-Tai Chang , Duan-Shin Lee , Ping-En Lu

In complex networks, each node has some unique characteristics that define the importance of the node based on the given application-specific context. These characteristics can be identified using various centrality metrics defined in the…

Social and Information Networks · Computer Science 2020-11-17 Akrati Saxena , Sudarshan Iyengar

Edge intelligence has arisen as a promising computing paradigm for supporting miscellaneous smart applications that rely on machine learning techniques. While the community has extensively investigated multi-tier edge deployment for…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-01 Liekang Zeng , Chongyu Yang , Peng Huang , Zhi Zhou , Shuai Yu , Xu Chen

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

Econometrics · Economics 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

The $k$-center problem is a central optimization problem with numerous applications for machine learning, data mining, and communication networks. Despite extensive study in various scenarios, it surprisingly has not been thoroughly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Leyla Biabani , Ami Paz

Finding the set of nodes, which removed or (de)activated can stop the spread of (dis)information, contain an epidemic or disrupt the functioning of a corrupt/criminal organization is still one of the key challenges in network science. In…

Social and Information Networks · Computer Science 2019-03-26 Xiao-Long Ren , Niels Gleinig , Dirk Helbing , Nino Antulov-Fantulin

Centrality metrics have been used in various networks, such as communication, social, biological, geographic, or contact networks. In particular, they have been used in order to study and analyze targeted attack behaviors and investigated…

Social and Information Networks · Computer Science 2021-07-23 Zelin Wan , Yash Mahajan , Beom Woo Kang , Terrence J. Moore , Jin-Hee Cho

We study spatial networks that are designed to distribute or collect a commodity, such as gas pipelines or train tracks. We focus on the cost of a network, as represented by the total length of all its edges, and its efficiency in terms of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael T. Gastner , M. E. J. Newman

Combinations of Gramian-based centrality measures are used for driver node selection in complex networks in order to simultaneously take into account conflicting control energy requirements, like minimizing the average energy needed to…

Systems and Control · Computer Science 2020-12-17 Gustav Lindmark , Claudio Altafini

There are several applications that benefit from a definition of centrality which is applicable to sets of vertices, rather than individual vertices. However, existing definitions might not be able to help us in answering several network…

Social and Information Networks · Computer Science 2020-10-05 Mostafa Haghir Chehreghani

Street network analysis holds appeal as a tool for the assessment of pedestrian connectivity and its relation to the intensity and mix of land-uses; however, application within urban-design triggers a range of questions on implementary…

Physics and Society · Physics 2021-07-02 Gareth D. Simons

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

Based on a large dataset containing thousands of real-world networks ranging from genetic, protein interaction, and metabolic networks to brain, language, ecology, and social networks we search for defining structural measures of the…

Machine Learning · Computer Science 2021-06-22 Máté Józsa , Alpár S. Lázár , Zsolt I. Lázár

Centrality indices are used to rank the nodes of a graph by importance: this is a common need in many concrete situations (social networks, citation networks, web graphs, for instance) and it was discussed many times in sociology,…

Social and Information Networks · Computer Science 2025-11-25 Paolo Boldi , Flavio Furia , Chiara Prezioso
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