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The Manipulability of Centrality Measures-An Axiomatic Approach

Published: 13 May 2020 Publication History

Abstract

Centrality measures are among the most fundamental tools for social network analysis. Since network data is often incomplete, erroneous, or otherwise manipulated, increasing attention has recently been paid to studying the sensitivity of centrality measures to such distortions. However, thus far no universal method of quantifying the manipulability of centrality measures has been proposed. To bridge this gap in the literature, we take an axiomatic approach. In particular, we introduce a set of intuitive axioms that characterize such a measure, and prove that there exists only one solution that satisfies them. Next, building upon this measure, we quantify the manipulability of the most fundamental centrality measures.

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Cited By

View all
  • (2023)Adversarial Link Prediction in Spatial NetworksProceedings of the 2023 International Conference on Autonomous Agents and Multiagent Systems10.5555/3545946.3598846(1817-1825)Online publication date: 30-May-2023
  • (2023)Hiding From Centrality Measures: A Stackelberg Game PerspectiveIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2023.326785435:10(10058-10071)Online publication date: 17-Apr-2023
  • (2021)How Members of Covert Networks Conceal the Identities of Their LeadersACM Transactions on Intelligent Systems and Technology10.1145/349046213:1(1-29)Online publication date: 29-Nov-2021

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cover image ACM Conferences
AAMAS '20: Proceedings of the 19th International Conference on Autonomous Agents and MultiAgent Systems
May 2020
2289 pages
ISBN:9781450375184

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International Foundation for Autonomous Agents and Multiagent Systems

Richland, SC

Publication History

Published: 13 May 2020

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Author Tags

  1. centrality measures
  2. manipulability
  3. networks

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  • Research-article

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  • Polish National Science Center

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AAMAS '19
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Overall Acceptance Rate 1,155 of 5,036 submissions, 23%

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Cited By

View all
  • (2023)Adversarial Link Prediction in Spatial NetworksProceedings of the 2023 International Conference on Autonomous Agents and Multiagent Systems10.5555/3545946.3598846(1817-1825)Online publication date: 30-May-2023
  • (2023)Hiding From Centrality Measures: A Stackelberg Game PerspectiveIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2023.326785435:10(10058-10071)Online publication date: 17-Apr-2023
  • (2021)How Members of Covert Networks Conceal the Identities of Their LeadersACM Transactions on Intelligent Systems and Technology10.1145/349046213:1(1-29)Online publication date: 29-Nov-2021

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