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» Euclidean TSP on two polygons
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TCS
2010
13 years 5 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 9 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 7 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 11 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»
14 years 2 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