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Related papers: Ranking spreaders by decomposing complex networks

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As the calculation of centrality in complex networks becomes increasingly vital across technological, biological, and social systems, precise and scalable ranking methods are essential for understanding these networks. This paper introduces…

Social and Information Networks · Computer Science 2025-01-30 Hao Ren , Jiaojiao Jiang

Online social networks have become an important platform for people to communicate, share knowledge and disseminate information. Given the widespread usage of social media, individuals' ideas, preferences and behavior are often influenced…

Social and Information Networks · Computer Science 2023-09-12 Hui Li , Susu Yang , Mengting Xu , Sourav S Bhowmick , Jiangtao Cui

The k-defensive domination problem is a powerful modeling tool for strategic decision-making in network security and disaster/emergency management, where multiple nodes may be simultaneously under attack. Despite its practical relevance,…

Optimization and Control · Mathematics 2026-05-21 Bilge Varol , Tınaz Ekim , Kübra Tanınmış

Graphs or networks are a very convenient way to represent data with lots of interaction. Recently, Machine Learning on Graph data has gained a lot of traction. In particular, vertex classification and missing edge detection have very…

Machine Learning · Computer Science 2020-09-07 Simon Brandeis , Adrian Jarret , Pierre Sevestre

The identification of important nodes in complex networks is an area of exciting growth due to its applications across various disciplines like disease controlling, community finding, data mining, network system controlling, just to name a…

Social and Information Networks · Computer Science 2020-11-13 Qiuyan Shang , Yong Deng , Kang Hao Cheong

A growing number of systems are represented as networks whose architecture conveys significant information and determines many of their properties. Examples of network architecture include modular, bipartite, and core-periphery structures.…

General Finance · Quantitative Finance 2016-06-29 Paolo Barucca , Fabrizio Lillo

The general problem in this paper is vertex (node) subset selection with the goal to contain an infection that spreads in a network. Instead of selecting the single most important node, this paper deals with the problem of selecting…

Systems and Control · Electrical Eng. & Systems 2020-10-14 Michael Emmerich , Joost Nibbeling , Marios Kefalas , Aske Plaat

Identifying the most influential nodes in a network, typically using centrality measures, is a central task in applied network analysis. However, real-world networks are often constructed from noisy or incomplete data, which can distort…

Statistics Theory · Mathematics 2026-05-26 Hui Shen , Eric D. Kolaczyk

In social network analysis, the size of the k-core, i.e., the maximal induced subgraph of the network with minimum degree at least k, is frequently adopted as a typical metric to evaluate the cohesiveness of a community. We address the…

Optimization and Control · Mathematics 2023-05-03 Martina Cerulli , Domenico Serra , Carmine Sorgente , Claudia Archetti , Ivana Ljubic

Given a social network, which of its nodes have a stronger impact in determining its structure? More formally: which node-removal order has the greatest impact on the network structure? We approach this well-known problem for the first time…

Social and Information Networks · Computer Science 2011-10-21 Paolo Boldi , Marco Rosa , Sebastiano Vigna

Identification of critical nodes is a prominent topic in the study of complex networks. Numerous methods have been proposed, yet most exhibit inherent limitations. Traditional approaches primarily analyze specific structural features of the…

Social and Information Networks · Computer Science 2024-06-25 Hao Wang , Ting Luo , Shuang-ping Yang , Ming Jing , Jian Wang , Na Zhao

In network epidemic models, controlling the spread of a disease often requires targeted interventions such as vaccinating high-risk individuals based on network structure. However, typical approaches assume complete knowledge of the…

Statistics Theory · Mathematics 2026-02-16 Anirudh Sridhar , Arnob Ghosh

Recent advances have focused mainly on the resilience of the monoplex network in attacks targeting random nodes or links, as well as the robustness of the network against cascading attacks. However, very little research has been done to…

Social and Information Networks · Computer Science 2024-02-21 Boqian Ma , Hao Ren , Jiaojiao Jiang

Epidemics such as COVID-19 pose serious threats to public health and our society, and it is critical to investigate effective methods to control the spread of epidemics over networks. Prior works on epidemic control often assume complete…

Artificial Intelligence · Computer Science 2023-10-13 Wenxiang Dong , Zhanjiang Chen , H. Vicky Zhao

Percolation theory shows that removing a small fraction of critical nodes can lead to the disintegration of a large network into many disconnected tiny subnetworks. The network dismantling task focuses on how to efficiently select the least…

Social and Information Networks · Computer Science 2023-01-31 Jiazheng Zhang , Bang Wang

This paper considers a Markov-modulated duplication-deletion random graph where at each time instant, one node can either join or leave the network; the probabilities of joining or leaving evolve according to the realization of a finite…

Information Theory · Computer Science 2013-03-04 Maziyar Hamdi , Vikram Krishnamurthy , George Yin

We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

The problem of influence maximization, i.e., finding the set of nodes having maximal influence on a network, is of great importance for several applications. In the past two decades, many heuristic metrics to spot influencers have been…

Physics and Society · Physics 2023-06-07 Siddharth Patwardhan , Filippo Radicchi , Santo Fortunato

The challenges of graph stream algorithms are twofold. First, each edge needs to be processed only once, and second, it needs to work on highly constrained memory. Diffusion degree is a measure of node centrality that can be calculated (for…

Data Structures and Algorithms · Computer Science 2024-02-01 Vinit Ramesh Gore , Suman Kundu , Anggy Eka Pratiwi

The connectivity of networked systems is often dependent on a small portion of critical nodes. Network dismantling studies the strategy to identify a subset of nodes the removal of which will maximally destroy the connectivity of a network…

Social and Information Networks · Computer Science 2022-05-17 Dengcheng Yan , Zijian Wu , Yi Zhang , Shiqin Qu , Yiwen Zhang , Hong Zhong