Given a set S of n points in the plane, a minimumdilation spanning tree of S is a tree with vertex set S of smallest possible dilation. We show that given a set S of n points and ...
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Abstract. Let C be a polygonal cycle on n vertices in the plane. A randomized algorithm is presented which computes in O(n log3 n) expected time, the edge of C whose removal result...
Hee-Kap Ahn, Mohammad Farshi, Christian Knauer, Mi...