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Straight Line Embedding


A straight line embedding of a graph is an embedding in Euclidean space whose edges are straight line segments that meet only at common endpoints. In the plane, such a representation is a planar straight line embedding.

A straight line drawing retains the straightness condition without requiring intersections to occur only at common endpoints. Although geometric and computational sources sometimes call such a drawing an embedding, the topological term straight line embedding applies only when the edges otherwise remain disjoint.


See also

Embedding, Graph Embedding, Integral Embedding, Planar Straight Line Embedding, Straight Line Drawing

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References

White, A. T. "Imbedding Problems in Graph Theory." Ch. 6 in Graphs of Groups on Surfaces: Interactions and Models (Ed. A. T. White). Amsterdam, Netherlands: Elsevier, 2001.

Referenced on Wolfram|Alpha

Straight Line Embedding

Cite this as:

Weisstein, Eric W. "Straight Line Embedding." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StraightLineEmbedding.html

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