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.
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Entry modified 17 December 2004.
HTML page formatted Fri Mar 25 16:20:34 2011.
Cite this as:
Paul E. Black, "Euclidean traveling salesman problem", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/euclidntrvls.html