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SIAMCOMP
2012
13 years 3 days ago
An Optimal Dynamic Data Structure for Stabbing-Semigroup Queries
Let S be a set of n intervals in R, and let (S, +) be any commutative semigroup. We assign a weight ω(s) ∈ S to each interval in S. For a point x ∈ R, let S(x) ⊆ S be the se...
Pankaj K. Agarwal, Lars Arge, Haim Kaplan, Eyal Mo...
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
14 years 11 months ago
Approximating Optimal Binary Decision Trees
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Micah Adler, Brent Heeringa
EJC
2006
14 years 9 months ago
Old and young leaves on plane trees
Abstract. A leaf of a plane tree is called an old leaf if it is the leftmost child of its parent, and it is called a young leaf otherwise. In this paper we enumerate plane trees wi...
William Y. C. Chen, Emeric Deutsch, Sergi Elizalde
ORL
2008
77views more  ORL 2008»
14 years 9 months ago
A short proof of the VPN Tree Routing Conjecture on ring networks
The VPN Tree Routing Conjecture states that there always exists an optimal solution to the symmetric Virtual Private Network Design (sVPND) problem where the paths between all ter...
Fabrizio Grandoni, Volker Kaibel, Gianpaolo Oriolo...
STOC
2005
ACM
130views Algorithms» more  STOC 2005»
15 years 10 months ago
Low-distortion embeddings of general metrics into the line
A low-distortion embedding between two metric spaces is a mapping which preserves the distances between each pair of points, up to a small factor called distortion. Low-distortion...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...