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Geva, Kerem; Katz, Matthew J.; Mitchell, Joseph S.; Packer, Eli (, Algorithms and Complexity: 13th International Conference, CIAC 2023, Larnaca, Cyprus, June 13–16, 2023)Mavronicolas, Marios (Ed.)Let {\$$}{\$$}E={\backslash}{\{}e{\_}1,{\backslash}ldots ,e{\_}n{\backslash}{\}}{\$$}{\$$}be a set of C-oriented disjoint segments in the plane, where C is a given finite set of orientations that spans the plane, and let s and t be two points. We seek a minimum-link C-oriented tour of E, that is, a polygonal path {\$$}{\$$}{\backslash}pi {\$$}{\$$}from s to t that visits the segments of E in order, such that, the orientations of its edges are in C and their number is minimum. We present an algorithm for computing such a tour in {\$$}{\$$}O(|C|^2 {\backslash}cdot n^2){\$$}{\$$}time. This problem already captures most of the difficulties occurring in the study of the more general problem, in which E is a set of not-necessarily-disjoint C-oriented polygons.more » « less