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Article
Computer Science, Information Systems
Ming Xie et al.
Summary: This paper proposes an adaptive degree-based heuristic algorithm called HADP to solve the influence maximization problem in hypergraphs. Experimental results on real and synthetic hypergraphs demonstrate that HADP outperforms baseline algorithms in terms of both effectiveness and efficiency, especially in hypergraphs with high heterogeneity.
INFORMATION PROCESSING & MANAGEMENT
(2023)
Article
Multidisciplinary Sciences
Yuanzhao Zhang et al.
Summary: Higher-order networks are a powerful framework for modeling complex systems and their collective behavior. The choice between simplicial complexes and hypergraphs has a significant impact on the dynamics of the system.
NATURE COMMUNICATIONS
(2023)
Article
Mathematics, Applied
Xiaowen Xie et al.
Summary: This study proposes a new centrality method (HGC) based on the gravity model and a semi-local HGC that achieves a balance between accuracy and computational complexity. Two evaluation metrics, including a complex contagion model in hypergraphs and network s-efficiency based on higher-order distance, are also introduced. The results demonstrate the ability of our methods to identify crucial nodes in terms of spreading ability and hypergraph connectivity.
Article
Mathematics, Interdisciplinary Applications
Daniel Hernandez Serrano et al.
Summary: We propose a stochastic model to describe epidemics over simplicial complex networks, incorporating higher-order unforeseen or random interactions. The dynamics of the model follow a stochastic differential equation (SDE) based on a mean field approach. The only possible equilibrium state in this stochastic regime is the origin, and conditions for global stability and disease eradication are given. Empirical results from simulations on real-world and synthetic networks validate the theoretical findings.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Fluids & Plasmas
Ankit Mishra et al.
Summary: Localization behaviors of Laplacian eigenvectors of complex networks provide explanations for various dynamical phenomena of corresponding complex systems. Through numerical examination, we find that higher-order interactions, even though much fewer than pairwise links, play a key role in steering localization of eigenvectors corresponding to larger eigenvalues. These findings are beneficial for understanding dynamic phenomena in real-world complex systems with higher-order interactions, such as diffusion and random walks.
Article
Neurosciences
Shaun K. L. Quah et al.
Summary: This study compares the changes in covariance networks of the brain between adolescence and adulthood in marmoset monkeys. The research finds substantial shifts in the topology of structural covariance networks in the prefrontal cortex and temporal lobe. Prefrontal regions become more specialized within their own local network, while the temporal regions show increased inter-hemispheric covariances. Regionally selective coupling of structural and maturational covariance is also revealed.
Article
Economics
Daniela Tocchi et al.
Summary: This paper discusses the theoretical and practical implications of calculating centrality metrics in hypergraphs modeling maritime container services. It introduces a new formulation of the betweenness centrality metric consistent with the concept of hyperpaths, and demonstrates the effectiveness and ease of calculation by applying it to a worldwide network of container services related to the year 2019.
JOURNAL OF TRANSPORT GEOGRAPHY
(2022)
Article
Physics, Multidisciplinary
Quintino Francesco Lotito et al.
Summary: Recent research has shown that pairwise interactions in a given network are replaced by higher-order interactions. This study develops an algorithm to detect patterns in hypergraphs and demonstrates how they can be used to identify structural differences in various real-world systems.
COMMUNICATIONS PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Yan Wang et al.
Summary: This article addresses the importance of identifying influential nodes in a network and proposes a new centrality measure and a heuristic algorithm for filtering propagators. Experimental results show that the new centrality measure is more accurate and effective, while the heuristic algorithm improves both spread speed and infection scale.
CHAOS SOLITONS & FRACTALS
(2022)
Review
Multidisciplinary Sciences
Soumen Majhi et al.
Summary: Higher-order networks, which allow links to connect more than two nodes, have emerged as a new frontier in network science and have led to important discoveries in various fields. This review focuses on the dynamics that arise on higher-order networks, covering different processes such as synchronization, contagion, cooperation, and consensus formation. The review also outlines future challenges and promising research directions.
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2022)
Article
Mathematics, Interdisciplinary Applications
Panfeng Liu et al.
Summary: The study introduces a new influence maximization method VoteRank(++) which iteratively selects influential nodes through a voting approach, and outperforms baseline methods in spreading speed and infected scale in experiments.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Psychology, Biological
Unai Alvarez-Rodriguez et al.
Summary: This study examines the evolutionary dynamics of a public goods game in social systems with higher-order interactions, providing a theoretical framework for studying cooperation in networked groups. The research also demonstrates how the presence of hubs and interactions in groups of different sizes influence the evolution of cooperation, and applies this framework to real-world collaboration data in science and technology to extract the synergy factor's dependence on group size. The work offers a way to boost cooperation in social groups through informed actions.
NATURE HUMAN BEHAVIOUR
(2021)
Article
Physics, Multidisciplinary
Federico Battiston et al.
Summary: This Perspective explores the limitations of network representations for complex systems and the importance of higher-order interactions. While complex network models have been widely used for simulating the dynamics of interacting systems, real-world systems often involve higher-order interactions.
Article
Multidisciplinary Sciences
L. V. Gambuzza et al.
Summary: Various systems have been successfully modeled as networks of coupled dynamical systems, with recent studies showing the presence of higher-order many-body interactions in social groups, ecosystems, and the human brain. The proposed analytical approach by Gambuzza et al. provides conditions for stable synchronization in many-body interaction networks.
NATURE COMMUNICATIONS
(2021)
Article
Multidisciplinary Sciences
E. Vasilyeva et al.
Summary: The study investigates higher-order scientific collaboration networks, where more than two individuals can be connected in a collaboration link. The research tracks the development of collaboration networks by progressively merging collaborations from smaller to larger sizes. Using publications as network nodes yielded qualitatively similar insights, confirming their robustness.
SCIENTIFIC REPORTS
(2021)
Article
Physics, Multidisciplinary
Guilherme Ferraz de Arruda et al.
Summary: This paper addresses the lack of a theoretical framework to describe general dynamical processes on hypergraphs by deriving expressions for the stability of dynamical systems defined on hypergraphs. The study reveals the relevance of weighted graph-projection structures near fixed points and the potential to identify the roles of structural orders in given processes. Analytical solutions for social contagion and diffusion processes show that stability conditions can be separated into structural and dynamical components, with different roles played by pairwise interactions and interaction orders.
COMMUNICATIONS PHYSICS
(2021)
Article
Physics, Multidisciplinary
Federico Musciotto et al.
Summary: The study proposes a method for detecting informative connections of any order in statistically validated hypergraphs, showing that hyperlinks are more informative than traditional pairwise approaches when applied to synthetic and real-world systems. Interactions in many real-world systems are often not limited to dyads, but involve three or more agents at a time, better described by hypergraphs encoding higher-order interactions among a group of nodes.
COMMUNICATIONS PHYSICS
(2021)
Article
Physics, Multidisciplinary
Alessia Antelmi et al.
Summary: This work generalizes the minimum Target Set Selection problem on networks characterized by many-to-many relationships modeled via hypergraphs, introducing a linear threshold diffusion process and evaluating it on real-world networks with four heuristics.
Article
Mathematics, Applied
Leo Torres et al.
Summary: The paper proposes a basic, domain-agnostic language to advance towards a more cohesive vocabulary for complex systems. It evaluates each step of the complex systems analysis pipeline and discusses different types of dependencies that can affect the results and the entire analysis process.
Article
Mathematics, Interdisciplinary Applications
Ilya Amburg et al.
Summary: This study focuses on recovering a planted set of core nodes in a hypergraph without knowing the labels of core and fringe nodes. They provide a theoretical framework and develop a practical algorithm based on the concept that core nodes are a hitting set of the hypergraph. The algorithm demonstrates efficacy on real-world datasets, outperforming competitive baselines derived from network centrality and core-periphery measures.
JOURNAL OF PHYSICS-COMPLEXITY
(2021)
Article
Mathematics, Interdisciplinary Applications
Florian Klimm et al.
Summary: Protein-protein interactions are essential for cellular function and can occur in various forms. Studying hypergraphs can provide a better understanding of cellular processes, with different models affecting assortativity, the number of connected components, and clustering. Projecting polyadic interactions from hypergraphs to pairwise interaction graphs can identify different hub proteins.
JOURNAL OF COMPLEX NETWORKS
(2021)
Article
Mathematics, Interdisciplinary Applications
Sinan G. Aksoy et al.
Review
Physics, Multidisciplinary
Federico Battiston et al.
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(2020)
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TSINGHUA SCIENCE AND TECHNOLOGY
(2020)
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Christopher W. Lynn et al.
NATURE REVIEWS PHYSICS
(2019)
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Jianming Zhu et al.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2019)
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Gideon Rosenthal et al.
NATURE COMMUNICATIONS
(2018)
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Austin R. Benson et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2018)
Review
Chemistry, Multidisciplinary
Sebastian Brauch et al.
CHEMICAL SOCIETY REVIEWS
(2013)
Article
Physics, Condensed Matter
Jian-Wei Wang et al.
EUROPEAN PHYSICAL JOURNAL B
(2010)
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Multidisciplinary Sciences
Atsushi Tero et al.
Article
Physics, Fluids & Plasmas
Vinko Zlatic et al.
Review
Physics, Multidisciplinary
Claudio Castellano et al.
REVIEWS OF MODERN PHYSICS
(2009)
Article
Biology
Atsushi Tero et al.
JOURNAL OF THEORETICAL BIOLOGY
(2007)
Review
Physics, Multidisciplinary
S. Boccaletti et al.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2006)
