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Centrality Measures in Complex Networks: A Survey

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arxiv 2011.07190 v1 pith:I3T2XPLG submitted 2020-11-14 cs.SI

classification cs.SI
keywords centralitymeasuresnetworksnodeapplicationcharacteristicscomplexinformation
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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 literature. Some of these centrality measures can be computed using local information of the node, such as degree centrality and semi-local centrality measure. Others use global information of the network like closeness centrality, betweenness centrality, eigenvector centrality, Katz centrality, PageRank, and so on. In this survey, we discuss these centrality measures and the state of the art literature that includes the extension of centrality measures to different types of networks, methods to update centrality values in dynamic networks, methods to identify top-k nodes, approximation algorithms, open research problems related to the domain, and so on. The paper is concluded with a discussion on application specific centrality measures that will help to choose a centrality measure based on the network type and application requirements.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Centrality Measure Using Magnitude Homology

    math.AT 2026-07 conditional novelty 6.0 of 10

    A new family of graph centrality measures based on the change in (Eulerian) magnitude homology after deleting a vertex, with a proven locality property.

  2. Node Importance Estimation Leveraging LLMs for Semantic Augmentation in Knowledge Graphs

    cs.AI 2024-11 conditional novelty 6.0 of 10

    LENIE generates LLM-augmented node descriptions, sampled via clustering-based triplet selection, and uses them as embeddings to improve node importance estimation in knowledge graphs.

  3. System-Wide Termination in Distributed Betweenness Centrality Computation

    cs.DC 2026-07 conditional novelty 5.0 of 10

    A gossip-based global termination detector lets nodes in a distributed betweenness centrality computation stop only after all nodes have converged, avoiding premature-stop errors.

  4. Dynamics of temporal influence in polarised networks

    cs.SI 2025-07 conditional novelty 4.0 of 10

    Temporal degree centrality and a modified temporal independent cascade model best recover ground-truth influence bands in polarized temporal networks, while eigenvector and closeness centralities perform poorly.

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