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SODA
2010
ACM
162views Algorithms» more  SODA 2010»
16 years 3 months ago
The forest hiding problem
Let be a disk of radius R in the plane. A set F of closed unit disks contained in forms a maximal packing if the unit disks are pairwise disjoint and the set is maximal: i.e., i...
Adrian Dumitrescu, Minghui Jiang
ESA
2004
Springer
117views Algorithms» more  ESA 2004»
15 years 11 months ago
Classroom Examples of Robustness Problems in Geometric Computations
The algorithms of computational geometry are designed for a machine model with exact real arithmetic. Substituting floating-point arithmetic for the assumed real arithmetic may c...
Lutz Kettner, Kurt Mehlhorn, Sylvain Pion, Stefan ...
167
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DAC
1989
ACM
15 years 9 months ago
A New Approach to the Rectilinear Steiner Tree Problem
: We discuss a new approach to constructing the rectilinear Steiner tree (RST) of a given set of points in the plane, starting from a minimum spanning tree (MST). The main idea in ...
Jan-Ming Ho, Gopalakrishnan Vijayan, C. K. Wong
GD
2006
Springer
15 years 9 months ago
Computing Geometric Minimum-Dilation Graphs Is NP-Hard
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...
Rolf Klein, Martin Kutz
AIPS
2003
15 years 7 months ago
Vehicle Routing and Job Shop Scheduling: What's the Difference?
Despite a number of similarities, vehicle routing problems and scheduling problems are typically solved with different techniques. In this paper, we undertake a systematic study o...
J. Christopher Beck, Patrick Prosser, Evgeny Selen...