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» Euclidean TSP on two polygons
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TCS
2010
13 years 3 months ago
Euclidean TSP on two polygons
We give an O(n2 m + nm2 + m2 log m) time and O(n2 + m2 ) space algorithm for finding the shortest traveling salesman tour through the vertices of two simple polygonal obstacles i...
Jeff Abrahamson, Ali Shokoufandeh
CCCG
2010
13 years 6 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
IOR
2008
85views more  IOR 2008»
13 years 4 months ago
Equity-Efficiency Bicriteria Location with Squared Euclidean Distances
A facility has to be located within a given region taking two criteria of equity and efficiency into account. Equity is sought by minimizing the inequality in the inhabitant-facil...
Yoshiaki Ohsawa, Naoya Ozaki, Frank Plastria
FOCS
1997
IEEE
13 years 9 months ago
The Computational Complexity of Knot and Link Problems
We consider the problem of deciding whether a polygonal knot in 3dimensional Euclidean space is unknotted, capable of being continuously deformed without self-intersection so that...
Joel Hass, J. C. Lagarias, Nicholas Pippenger
ESA
2009
Springer
139views Algorithms» more  ESA 2009»
13 years 11 months ago
Optimality and Competitiveness of Exploring Polygons by Mobile Robots
Abstract. A mobile robot, represented by a point moving along a polygonal line in the plane, has to explore an unknown polygon and return to the starting point. The robot has a sen...
Jurek Czyzowicz, Arnaud Labourel, Andrzej Pelc