Usually means: Graph drawn without crossing edges.
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We found 7 dictionaries that define the word planar graph:

General (2 matching dictionaries)
  1. planar graph: Wiktionary
  2. Planar graph: Wikipedia, the Free Encyclopedia

Computing (2 matching dictionaries)
  1. planar graph: Dictionary of Algorithms and Data Structures
  2. planar graph: Encyclopedia

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

Definitions from Wiktionary (planar graph)

noun:  (graph theory) A graph which can be embedded in a plane in such a way that its edges only intersect at vertices, i.e., they do not cross each other.

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