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COMPGEOM
2006
ACM
14 years 2 months ago
Embedding ultrametrics into low-dimensional spaces
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
CCCG
1996
13 years 10 months ago
Computing the Angularity Tolerance
In computational metrology one needs to compute whether an object satis es speci cations of shape within an acceptable tolerance. To this end positions on the object are measured,...
Mark de Berg, Henk Meijer, Mark H. Overmars, Gordo...
JUCS
2007
148views more  JUCS 2007»
13 years 8 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
ORL
1998
116views more  ORL 1998»
13 years 8 months ago
Heuristic solution of the multisource Weber problem as a p-median problem
Good heuristic solutions for large Multisource Weber problems can be obtained by solving related p-median problems in which potential locations of the facilities are users location...
Pierre Hansen, Nenad Mladenovic, Éric D. Ta...
JACM
2006
146views more  JACM 2006»
13 years 8 months ago
Limits on the ability of quantum states to convey classical messages
We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of...
Ashwin Nayak, Julia Salzman