(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

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Entry modified 17 December 2004.

HTML page formatted Mon Feb 2 13:10:39 2015.

Cite this as:

Paul E. Black, "Euclidean traveling salesman problem", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/euclidntrvls.html