Usually means: Study of networks and connections.
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We found 11 dictionaries that define the word graph theory:

General (6 matching dictionaries)
  1. graph theory: Merriam-Webster
  2. graph theory: Oxford Learner's Dictionaries
  3. graph theory: Wiktionary
  4. graph theory: Infoplease Dictionary
  5. graph theory: Dictionary.com
  6. Graph Theory, Graph theory: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. graph theory: Encyclopedia

Science (3 matching dictionaries)
  1. A Glossary of Mathematical Terms (No longer online)
  2. Graph Theory: Eric Weisstein's World of Mathematics
  3. graph theory: PlanetMath Encyclopedia

Slang (1 matching dictionary)
  1. graph theory: Urban Dictionary

Definitions from Wiktionary (graph theory)

noun:  (uncountable, mathematics) The branch of mathematics dealing with the properties of graphs (networks of vertices and edges).
noun:  (countable, applied mathematics) A theory developed by applying graph theory to a particular problem or application.

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