planar graph


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

Generalization (I am a kind of ...)

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


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 Black.

Entry modified 2 September 2014.
HTML page formatted Mon Feb 2 13:10:40 2015.

Cite this as:
Joseph L. Ganley, "planar graph", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 2 September 2014. (accessed TODAY) Available from: