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» Shortest Paths in Two Intersecting Pencils of Lines
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CCCG
2003
14 years 11 months ago
Shortest Paths in Two Intersecting Pencils of Lines
Suppose one has a line arrangement and one wants to find a shortest path from one point lying on a line of the arrangement to another such point. We look at a special case: the a...
David Hart
CCCG
2003
14 years 11 months ago
On shortest paths in line arrangements
In this paper, we show that the shortest path between two points in a grid-like arrangement of two pencils of lines has a particularly simple structure, as was previously conjectu...
Telikepalli Kavitha, Kasturi R. Varadarajan
CCCG
2010
14 years 11 months ago
The traveling salesman problem for lines and rays in the plane
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we...
Adrian Dumitrescu
EJC
2007
14 years 9 months ago
Proof of the oval conjecture for planar partition functions
We prove that the translation plane and the shift plane defined by a planar partition function form an oval pair of projective planes in the sense that the planes share a line pe...
Nils Rosehr
ICCI
1991
15 years 1 months ago
On the k-Coloring of Intervals
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Martin C. Carlisle, Errol L. Lloyd