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.
%0 Journal Article
%1 garfinkel1977minimizing
%A Garfinkel, Robert S.
%D 1977
%J Operations Research
%K circulant hamiltonian tsp
%N 5
%P 741--751
%R 10.1287/opre.25.5.741
%T Minimizing Wallpaper Waste, Part 1: A Class of Traveling Salesman Problems
%V 25
%X 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.
@article{garfinkel1977minimizing,
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. },
added-at = {2016-12-04T08:25:21.000+0100},
author = {Garfinkel, Robert S.},
biburl = {https://www.bibsonomy.org/bibtex/288600b92ee9b07c247c1b164facabed8/ytyoun},
doi = {10.1287/opre.25.5.741},
interhash = {ebb856e22f9bb55f6bcb00417340d1c1},
intrahash = {88600b92ee9b07c247c1b164facabed8},
journal = {Operations Research},
keywords = {circulant hamiltonian tsp},
number = 5,
pages = {741--751},
timestamp = {2016-12-29T04:40:44.000+0100},
title = {Minimizing Wallpaper Waste, Part 1: A Class of Traveling Salesman Problems},
volume = 25,
year = 1977
}