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Minimizing Wallpaper Waste, Part 1: A Class of Traveling Salesman Problems

. Operations Research, 25 (5): 741--751 (1977)
DOI: 10.1287/opre.25.5.741

Abstract

We address the problem of wallpapering a room so as to minimize the paper wasted. We show that the problem is equivalent to finding a shortest hamiltonian chain in a highly structured graph. When the chain connects two equivalent nodes (traveling salesman problem), the “nearest-neighbor” technique yields an optimal solution.

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