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CCCG
2010
14 years 11 months ago
k-star-shaped polygons
We introduce k-star-shaped polygons, polygons for which there exists at least one point x such that for any point y of the polygon, segment xy crosses the polygon's boundary ...
Jeff Sember, William Evans
CCCG
2010
14 years 11 months ago
Evading equilateral triangles without a map
Consider an arrangement of equilateral non-overlapping translated triangles in the plane and two points S and T so that the segment ST is parallel to a side of each of the triangl...
Braxton Carrigan
CCCG
2010
14 years 11 months ago
Triangulations with many points of even degree
Let S be a set of points in the plane in general position. A triangulation of S will be called even if all the points of S have an even degree. We show how to construct a triangul...
Jorge Urrutia, Canek Peláez, Adriana Ram&ia...
CCCG
2010
14 years 11 months ago
A new algorithm and improved lower bound for point placement on a line in two rounds
In this paper we show how to construct in 2 rounds a line-rigid point placement graph of size 4n/3+O(1) from small graphs called 6:6 jewels, an extension of the 4:4 jewel of [3]. ...
Md. Shafiul Alam, Asish Mukhopadhyay
CCCG
2010
14 years 11 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...