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CCCG
2006
13 years 11 months ago
Hamiltonian Cycles in Triangular Grids
We study the Hamiltonian Cycle problem in graphs induced by subsets of the vertices of the tiling of the plane with equilateral triangles. By analogy with grid graphs we call such...
Valentin Polishchuk, Esther M. Arkin, Joseph S. B....
CCCG
2006
13 years 11 months ago
Optimal Polygon Placement
Given a simple polygon P with m vertices and a set S of n points in the plane, we consider the problem of finding a rigid motion placement of P that contains the maximum number of...
Prosenjit Bose, Jason Morrison
CCCG
2006
13 years 11 months ago
K-Nearest Neighbor Search using the Pyramid Technique
A k-nearest neighbor search algorithm for the Pyramid technique is presented. The Pyramid technique divides d-dimensional data space into 2d pyramids. Given a query point q, we in...
Bradford G. Nickerson, Qingxiu Shi
CCCG
2006
13 years 11 months ago
On Bipartite Matching under the RMS Distance
Given two sets A and B of n points each in R2 , we study the problem of computing a matching between A and B that minimizes the root mean square (rms) distance of matched pairs. W...
Jeff M. Phillips, Pankaj K. Agarwal
CCCG
2006
13 years 11 months ago
(Approximate) Conic Nearest Neighbors and the induced Voronoi Diagram
For a given point set in Euclidean space we consider the problem of finding (approximate) nearest neighbors of a query point but restricting only to points that lie within a fixed...
Stefan Funke, Theocharis Malamatos, Domagoj Matije...