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AUSAI
1999
Springer
13 years 10 months ago
Applying Ant Algorithms and the No Fit Polygon to the Nesting Problem
In previous work solutions for the nesting problem are produced using the no fit polygon (NFP), a new evaluation method and three evolutionary algorithms (simulated annealing (SA),...
Edmund K. Burke, Graham Kendall
ICCS
2003
Springer
13 years 11 months ago
Approximation Algorithms to Minimum Vertex Cover Problems on Polygons and Terrains
We propose an anytime algorithm to compute successively better approximations of the optimum of Minimum Vertex Guard. Though the presentation is focused on polygons, the work may b...
Ana Paula Tomás, António Leslie Baju...
ESA
2009
Springer
74views Algorithms» more  ESA 2009»
14 years 10 days ago
On Inducing Polygons and Related Problems
Bose et al. [2] asked whether for every simple arrangement A of n lines in the plane there exists a simple n-gon P that induces A by extending every edge of P into a line. We prov...
Eyal Ackerman, Rom Pinchasi, Ludmila Scharf, Marc ...
DCG
2002
76views more  DCG 2002»
13 years 5 months ago
The Unit Distance Problem for Centrally Symmetric Convex Polygons
Let f(n) be the maximum number of unit distances determined by the vertices of a convex n-gon. Erdos and Moser conjectured that this function is linear. Supporting this conjecture...
Bernardo M. Ábrego, Silvia Fernández...