The paper proposes the Ruler Rolling problem, a more realistic variant of the Ruler Folding and Ruler Wrapping problems, where a carpenter's ruler is folded into a rectangle using 90-degree folds in the same direction. The authors provide a quadratic-time algorithm to find all Pareto-optimal rollings under the assumption that the last segment extends strictly beyond every other.
For planar point sets contained in narrow strips, the complexity of the Euclidean Traveling Salesman Problem depends on the strip width. Efficient fixed-parameter tractable algorithms are presented that exploit the geometric structure of the problem.