Flexible Graph

A graph 👁 G
is said to be flexible if the vertices of 👁 G
can be moved continuously so that (1) the distances between adjacent vertices are unchanged, and (2) at least two nonadjacent vertices change their mutual distances. A graph which is not flexible is said to be rigid.

See also

Rigid Graph

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References

Maehara, H. "Distance Graphs in Euclidean Space." Ryukyu Math. J. 5, 33-51, 1992.

Referenced on Wolfram|Alpha

Flexible Graph

Cite this as:

Weisstein, Eric W. "Flexible Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FlexibleGraph.html

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