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COMPGEOM
2008
ACM
13 years 9 months ago
Extremal problems on triangle areas in two and three dimensions
The study of extremal problems on triangle areas was initiated in a series of papers by Erdos and Purdy in the early 1970s. In this paper we present new results on such problems, ...
Adrian Dumitrescu, Micha Sharir, Csaba D. Tó...
FOCS
2006
IEEE
14 years 1 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
SIROCCO
2004
13 years 8 months ago
Path Layout on Tree Networks: Bounds in Different Label Switching Models
Path Layout is a fundamental graph problem in label switching protocols. This problem is raised in various protocols such as the traditional ATM protocol and MPLS which is a new l...
Anat Bremler-Barr, Leah Epstein
CCCG
2009
13 years 8 months ago
The Bichromatic Rectangle Problem in High Dimensions
Given a set of blue points and a set of red points in ddimensional space, we show how to find an axis-aligned hyperrectangle that contains no red points and as many blue points as...
Jonathan Backer, J. Mark Keil