550,915 research outputs found
Single-Player and Two-Player Buttons & Scissors Games
We study the computational complexity of the Buttons \& Scissors game and
obtain sharp thresholds with respect to several parameters. Specifically we
show that the game is NP-complete for colors but polytime solvable for
. Similarly the game is NP-complete if every color is used by at most buttons but polytime solvable for . We also consider
restrictions on the board size, cut directions, and cut sizes. Finally, we
introduce several natural two-player versions of the game and show that they
are PSPACE-complete.Comment: 21 pages, 15 figures. Presented at JCDCG2 2015, Kyoto University,
Kyoto, Japan, September 14 - 16, 201
Computational Geometry Column 34
Problems presented at the open-problem session of the 14th Annual ACM
Symposium on Computational Geometry are listed
Computational Geometry Column 35
The subquadratic algorithm of Kapoor for finding shortest paths on a
polyhedron is described
Computational Geometry Column 45
The algorithm of Edelsbrunner for surface reconstruction by ``wrapping'' a
set of points in R^3 is described.Comment: 4 pages, to appear in SIGACT News and in IJCGA, 200
Computational Geometry Column 41
The recent result that n congruent balls in R^d have at most 4 distinct
geometric permutations is described.Comment: To appear in SIGACT News and in Internat. J. Comput. Geom. App
Computational Geometry Column 42
A compendium of thirty previously published open problems in computational
geometry is presented.Comment: 7 pages; 72 reference
Computational Geometry Column 43
The concept of pointed pseudo-triangulations is defined and a few of its
applications described.Comment: 3 pages, 1 figur
Computational Geometry Column 39
The resolution of a decades-old open problem is described: polygonal chains
cannot lock in the plane.Comment: 4 pages, 2 figures. To appear in SIGACT News and in Int. J. Comp.
Geom. App
Computational Geometry Column 38
Recent results on curve reconstruction are described.Comment: 3 pages, 1 figure, 18 ref
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