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Networks may, or may not, be wired to have a core that is both itself densely connected and central in terms of graph distance. In this study we propose a coefficient to measure if the network has such a clear-cut core-periphery dichotomy.…

物理与社会 · 物理学 2007-05-23 Petter Holme

As a fundamental structural transition in complex networks, core percolation is related to a wide range of important problems. Yet, previous theoretical studies of core percolation have been focusing on the classical Erd\H{o}s-R\'enyi…

统计力学 · 物理学 2013-01-01 Yang-Yu Liu , Endre Csóka , Haijun Zhou , Márton Pósfai

Recent studies uncovered important core/periphery network structures characterizing complex sets of cooperative and competitive interactions between network nodes, be they proteins, cells, species or humans. Better characterization of the…

物理与社会 · 物理学 2013-12-03 Peter Csermely , Andras London , Ling-Yun Wu , Brian Uzzi

Finding influential spreaders of information and disease in networks is an important theoretical problem, and one of considerable recent interest. It has been almost exclusively formulated as a node-ranking problem -- methods for…

种群与进化 · 定量生物学 2017-08-14 Jain Gu , Sungmin Lee , Jari Saramäki , Petter Holme

The integrity and functionality of many real-world complex systems hinge on a small set of pivotal nodes, or influencers. In different contexts, these influencers are defined as either structurally important nodes that maintain the…

物理与社会 · 物理学 2019-08-30 Sen Pei , Jiannan Wang , Flaviano Morone , Hernán A Makse

Temporal networks are widely used to represent a vast diversity of systems, including in particular social interactions, and the spreading processes unfolding on top of them. The identification of structures playing important roles in such…

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…

物理与社会 · 物理学 2016-03-23 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

Spreading is a ubiquitous process in the social, biological and technological systems. Therefore, identifying influential spreaders, which is important to prevent epidemic spreading and to establish effective vaccination strategies, is full…

物理与社会 · 物理学 2017-10-17 Senbin Yu , Liang Gao , Yi-Fan Wang , Ge Gao , Congcong Zhou , Zi-You Gao

With great theoretical and practical significance, locating influential nodes of complex networks is a promising issues. In this paper, we propose a dynamics-sensitive (DS) centrality that integrates topological features and dynamical…

社会与信息网络 · 计算机科学 2015-04-28 Jian-Hong Lin , Qiang Guo , Jian-Guo Liu , Tao Zhou

In Social Network Analysis (SNA), k-core decomposition is used to detect hierarchical shells in networks. The application of the K-core decomposition to a network of keywords allows us to represent the conceptual structure of a research…

统计方法学 · 统计学 2025-02-19 Carmen Gálvez

K-core decomposition is a commonly used metric to analyze graph structure or study the relative importance of nodes in complex graphs. Recent years have seen rapid growth in the scale of the graph, especially in industrial settings. For…

分布式、并行与集群计算 · 计算机科学 2022-01-03 Shicheng Gao , Jie Xu , Xiaosen Li , Fangcheng Fu , Wentao Zhang , Wen Ouyang , Yangyu Tao , Bin Cui

Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in…

物理与社会 · 物理学 2019-10-23 Sirag Erkol , Claudio Castellano , Filippo Radicchi

The H-index of a node in a static network is the maximum value $h$ such that at least $h$ of its neighbors have a degree of at least $h$. Recently, a generalized version, the $n$-th order H-index, was introduced, allowing to relate degree…

社会与信息网络 · 计算机科学 2023-05-26 Lutz Oettershagen , Nils M. Kriege , Petra Mutzel

Many networks can be usefully decomposed into a dense core plus an outlying, loosely-connected periphery. Here we propose an algorithm for performing such a decomposition on empirical network data using methods of statistical inference. Our…

社会与信息网络 · 计算机科学 2015-06-22 Xiao Zhang , Travis Martin , M. E. J. Newman

Real world complex networks are scale free and possess meso-scale properties like core-periphery and community structure. We study evolution of the core over time in real world networks. This paper proposes evolving models for both…

社会与信息网络 · 计算机科学 2015-12-01 Akrati Saxena , S. R. S. Iyengar

Identifying highly susceptible individuals in spreading processes is of great significance in controlling outbreaks. In this paper, we explore the susceptibility of people in susceptible-infectious-recovered (SIR) and rumor spreading…

物理与社会 · 物理学 2015-05-20 Shaoting Tang , Xian Teng , Sen Pei , Shu Yan , Zhiming Zheng

The shell structure holds significant importance in various domains such as information dissemination, supply chain management, and transportation. This study focuses on investigating the shell structure of hub and non-hub nodes, which play…

物理与社会 · 物理学 2025-01-03 Gaogao Dong , Nannan Sun , Fan Wang , Renaud Lambiotte

In complex networks there are overlapping substructures or "circles" that consist of nodes belonging to multiple cohesive subgroups. Yet the role of these overlapping nodes in influence spreading processes remains underexplored. In the…

社会与信息网络 · 计算机科学 2026-03-12 Kosti Koistinen , Vesa Kuikka , Kimmo Kaski

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

社会与信息网络 · 计算机科学 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

The $k$-core of a graph is the maximal subgraph in which every node has degree at least~$k$, the shell index of a node is the largest $k$ such that the $k$-core contains the node, and the degeneracy of a graph is the largest shell index of…

组合数学 · 数学 2018-05-11 Johannes Rauh