NIST

planar graph

(definition)

Definition: A graph that can be drawn in the plane with no crossing edges.

Generalization (I am a kind of ...)
graph.

Specialization (... is a kind of me.)
dual, planar straight-line graph.

Note: Equivalently, a graph that does not contain any subgraph homeomorphic to the complete graph on 5 vertices or the complete bipartite graph with 3 vertices in each partition.

Author: JLG

Implementation

draw a planar graph such that no edges cross (C, C++, and Mathematica)
Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul E. Black.

Entry modified Fri Dec 17 12:28:35 2004.
HTML page formatted Wed Oct 26 09:47:57 2005.

Cite this as:
Joseph L. Ganley, "planar graph", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
http://www.nist.gov/dads/HTML/planargraph.html

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