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Creators/Authors contains: "Eppstein, D."

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  1. ; (, Proceedings of the 35th Canadian Conference on Computational Geometry (CCCG))
    Pankratov, D (Ed.)
    We consider the flip-width of geometric graphs, a notion of graph width recently introduced by Toruńczyk. We prove that many different types of geometric graphs have unbounded flip-width. These include interval graphs, permutation graphs, circle graphs, intersection graphs of axis-aligned line segments or axis-aligned unit squares, unit distance graphs, unit disk graphs, visibility graphs of simple polygons, β-skeletons, 4-polytopes, rectangle of influence graphs, and 3d Delaunay triangulations. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; ; ; ; ; (, 30th International Symposium on Algorithms and Computation (ISAAC 2019))
    We show new applications of the nearest-neighbor chain algorithm, a technique that originated in agglomerative hierarchical clustering. We use it to construct the greedy multi-fragment tour for Euclidean TSP in O(n log n) time in any fixed dimension and for Steiner TSP in planar graphs in O(n sqrt(n)log n) time; we compute motorcycle graphs, a central step in straight skeleton algorithms, in O(n^(4/3+epsilon)) time for any epsilon>0. 
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    Full Text Available