(classic problem)
Definition: Find a path of minimum Euclidean distance between points in a plane which includes each point exactly once and returns to its starting point.
See also traveling salesman, spanning tree.
Note: This can be generalized to higher dimensions, for instance, points in a 3-dimensional space. This problem is a special case of traveling salesman since the cost between points is the planar distance instead of arbitrary weights.
Author: PEB
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 17 December 2004.
HTML page formatted Wed Mar 13 12:42:45 2019.
Cite this as:
Paul E. Black, "Euclidean traveling salesman problem", in
Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/euclidntrvls.html