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In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

Social and Information Networks · Computer Science 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

Core decomposition is an efficient building block for various graph analysis tasks such as dense subgraph discovery and identifying influential nodes. One crucial weakness of the core decomposition is its sensitivity to changes in the…

Social and Information Networks · Computer Science 2023-06-22 Jakir Hossain , Sucheta Soundarajan , Ahmet Erdem Sarıyüce

Complex networks with high numbers of nodes or links are often difficult to analyse. However, not all elements contribute equally to their structural patterns. A small number of elements (the hubs) seem to play a particularly relevant role…

Physics and Society · Physics 2007-09-24 Bernat Corominas-Murtra , Sergi Valverde , Carlos Rodríguez-Caso , Ricard V. Solé

Identifying influential spreaders in complex networks is a critical challenge in network science, with broad applications in disease control, information dissemination, and influence analysis in social networks. The gravity model, a…

Computational Engineering, Finance, and Science · Computer Science 2024-11-27 Jiaxun Li , Yonghou He , Zhefan Dong , Li Tao

Massive network exploration is an important research direction with many applications. In such a setting, the network is, usually, modeled as a graph $G$, whereas any structural information of interest is extracted by inspecting the way…

Data Structures and Algorithms · Computer Science 2017-12-11 Panagiotis Strouthopoulos , Apostolos Papadopoulos

In this paper, we consider the problem of finding weak independent sets in a distributed network represented by a hypergraph. In this setting, each edge contains a set of r vertices rather than simply a pair, as in a standard graph. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-21 Duncan Adamson , Will Rosenbaum , Paul G. Spirakis

Identifying the most influential spreaders that maximize information flow is a central question in network theory. Recently, a scalable method called "Collective Influence (CI)" has been put forward through collective influence…

Physics and Society · Physics 2016-11-08 Xian Teng , Sen Pei , Flaviano Morone , Hernán A. Makse

The position of the nodes within a network topology largely determines the level of their involvement in various networking functions. Yet numerous node centrality indices, proposed to quantify how central individual nodes are in this…

Social and Information Networks · Computer Science 2013-12-18 George Nomikos , Panagiotis Pantazopoulos , Merkourios Karaliopoulos , Ioannis Stavrakakis

How would admissions look like in a university program for influencers? In the realm of social network analysis, influence maximization and link prediction stand out as pivotal challenges. Influence maximization focuses on identifying a set…

Social and Information Networks · Computer Science 2025-07-08 Marina Lin , Laura P. Schaposnik , Raina Wu

The k-core decomposition of a network has thus far mainly served as a powerful tool for the empirical study of complex networks. We now propose its explicit integration in a theoretical model. We introduce a Hard-core Random Network model…

Physics and Society · Physics 2014-02-11 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

A complex system can be represented and analyzed as a network, where nodes represent the units of the network and edges represent connections between those units. For example, a brain network represents neurons as nodes and axons between…

Neurons and Cognition · Quantitative Biology 2017-11-03 M. A. Bertolero , B. T. T. Yeo , M. D'Esposito

Ranking node importance is crucial in understanding network structure and function on complex networks. Degree, h-index and coreness are widely used, but which one is more proper to a network associated with a dynamical process, e.g. SIR…

Physics and Society · Physics 2018-12-31 Senbin Yu , Liang Gao , Yi-Fan Wang

Spreading processes are fundamental to complex networks. Identifying influential spreaders with dual local and global roles presents a crucial yet challenging task. To address this, our study proposes a novel method, the Basic Cycle Ratio…

Social and Information Networks · Computer Science 2025-10-01 Wenxin Zheng , Wenfeng Shi , Tianlong Fan , Linyuan Lv

Covert networks are social networks that often consist of harmful users. Social Network Analysis (SNA) has played an important role in reducing criminal activities (e.g., counter terrorism) via detecting the influential users in such…

Social and Information Networks · Computer Science 2019-03-15 Palash Dey , Sourav Medya

The identification of key nodes in complex networks is an important topic in many network science areas. It is vital to a variety of real-world applications, including viral marketing, epidemic spreading and influence maximization. In…

Social and Information Networks · Computer Science 2024-12-04 Mateusz Stolarski , Adam Piróg , Piotr Bródka

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

Many real-world systems can be expressed in temporal networks with nodes playing far different roles in structure and function and edges representing the relationships between nodes. Identifying critical nodes can help us control the spread…

Social and Information Networks · Computer Science 2021-07-07 En-Yu Yu , Yan Fu , Jun-Lin Zhou , Hong-Liang Sun , Duan-Bing Chen

We use the k-core decomposition to visualize large scale complex networks in two dimensions. This decomposition, based on a recursive pruning of the least connected vertices, allows to disentangle the hierarchical structure of networks by…

Networking and Internet Architecture · Computer Science 2016-08-16 José Ignacio Alvarez-Hamelin , Luca Dall'Asta , Alain Barrat , Alessandro Vespignani

In a network, we define shell $\ell$ as the set of nodes at distance $\ell$ with respect to a given node and define $r_\ell$ as the fraction of nodes outside shell $\ell$. In a transport process, information or disease usually diffuses from…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Jia Shao , Sergey V. Buldyrev , Lidia A. Braunstein , Shlomo Havlin , H. Eugene Stanley

While studies of meso-scale structures in networks often focus on community structure, core--periphery structures can reveal new insights. This structure typically consists of a well-connected core and a periphery that is well connected to…

Social and Information Networks · Computer Science 2021-03-17 Andrew Elliott , Angus Chiu , Marya Bazzi , Gesine Reinert , Mihai Cucuringu