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ICCSA
2004
Springer
15 years 2 months ago
A Robust and Fast Algorithm for Computing Exact and Approximate Shortest Visiting Routes
Abstract. Given a simple n-sided polygon in the plane with a boundary partitioned into subchains some of which are convex and colored, we consider the following problem: Which is t...
Håkan Jonsson
CORR
2010
Springer
103views Education» more  CORR 2010»
14 years 9 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...
ALGORITHMICA
2004
74views more  ALGORITHMICA 2004»
14 years 9 months ago
Three-Dimensional Layers of Maxima
Abstract. We present an O(n log n)-time algorithm to solve the threedimensional layers-of-maxima problem, an improvement over the prior O(n log n log log n)-time solution. A previo...
Adam L. Buchsbaum, Michael T. Goodrich
GD
2003
Springer
15 years 2 months ago
Three-Dimensional Grid Drawings with Sub-quadratic Volume
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line-segments representing the edges ...
Vida Dujmovic, David R. Wood
SIGACT
2008
103views more  SIGACT 2008»
14 years 9 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke