Usually means: Contains no closed loops, paths.
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We found 23 dictionaries that define the word acyclic:

General (16 matching dictionaries)
  1. acyclic: Merriam-Webster
  2. acyclic: Oxford Learner's Dictionaries
  3. acyclic: American Heritage Dictionary of the English Language
  4. acyclic: Collins English Dictionary
  5. acyclic: Vocabulary.com
  6. acyclic: Wordnik
  7. acyclic: Wiktionary
  8. acyclic: Webster's New World College Dictionary, 4th Ed.
  9. acyclic: Infoplease Dictionary
  10. acyclic: Dictionary.com
  11. Acyclic: Wikipedia, the Free Encyclopedia
  12. acyclic: Rhymezone
  13. acyclic: FreeDictionary.org
  14. acyclic: Mnemonic Dictionary
  15. acyclic: TheFreeDictionary.com
  16. acyclic: Merriam-Webster

Computing (2 matching dictionaries)
  1. Technopedia (No longer online)
  2. acyclic: Encyclopedia

Medicine (2 matching dictionaries)
  1. acyclic: Merriam-Webster Medical Dictionary
  2. online medical dictionary (No longer online)

Science (3 matching dictionaries)
  1. Botanical Terms (No longer online)
  2. Mathematical Programming (No longer online)
  3. acyclic, acyclic: PlanetMath Encyclopedia

Definitions from Wiktionary (acyclic)

adjective:  (organic chemistry, physical chemistry) Not cyclic; having an open chain structure.
adjective:  (graph theory, of a graph) Containing no cycles.
adjective:  (botany) Of a flower, having its parts inserted spirally on the receptacle.

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