Usually means: Importance or influence within a network.
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We found 25 dictionaries that define the word centrality:

General (21 matching dictionaries)
  1. centrality: Merriam-Webster
  2. centrality: Oxford Learner's Dictionaries
  3. centrality: American Heritage Dictionary of the English Language
  4. centrality: Collins English Dictionary
  5. centrality: Vocabulary.com
  6. Centrality, centrality: Wordnik
  7. centrality: Wiktionary
  8. centrality: Webster's New World College Dictionary, 4th Ed.
  9. centrality: Infoplease Dictionary
  10. Centrality, centrality: Dictionary.com
  11. Centrality: Wikipedia, the Free Encyclopedia
  12. Centrality: Online Plain Text English Dictionary
  13. centrality: Webster's Revised Unabridged, 1913 Edition
  14. centrality: Rhymezone
  15. Centrality: AllWords.com Multi-Lingual Dictionary
  16. centrality: Webster's 1828 Dictionary
  17. centrality: FreeDictionary.org
  18. centrality: Mnemonic Dictionary
  19. centrality: TheFreeDictionary.com

Business (2 matching dictionaries)
  1. centrality: Legal dictionary
  2. BusinessDictionary.com (No longer online)

Computing (1 matching dictionary)
  1. centrality: Encyclopedia

Medicine (1 matching dictionary)
  1. centrality: Medical dictionary

(Note: See centralities as well.)

Definitions from Wiktionary (centrality)

noun:  The state of being central.
noun:  A tendency to remain at, or move towards the centre.
noun:  (mathematics) Any of various measures of the relative importance of a vertex in a graph.

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