Abstract
We study the traveling salesperson problem with forbidden neighborhoods (TSPFN) on regular three-dimensional (3D) grids. The TSPFN asks for a shortest tour over all grid points such that successive points along a tour have at least some given distance. We present optimal solutions and explicit construction schemes for the Euclidean TSP and the TSPFN, where edges of length one are forbidden, on regular 3D grids.
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