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» Pointed binary encompassing trees: Simple and optimal
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COMGEO
2010
ACM
13 years 5 months ago
Pointed binary encompassing trees: Simple and optimal
For n disjoint line segments in the plane we construct in optimal O(n log n) time and linear space an encompassing tree of maximum degree three such that at every vertex all incid...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...
SWAT
2004
Springer
108views Algorithms» more  SWAT 2004»
13 years 10 months ago
Pointed Binary Encompassing Trees
For n disjoint line segments in the plane we can construct a binary encompassing tree such that every vertex is pointed, what’s more, at every segment endpoint all incident edges...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...
SSPR
2004
Springer
13 years 10 months ago
An Optimal Probabilistic Graphical Model for Point Set Matching
We present a probabilistic graphical model for point set matching. By using a result about the redundancy of the pairwise distances in a point set, we represent the binary relation...
Tibério S. Caetano, Terry Caelli, Dante Aug...
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 11 months ago
The total path length of split trees
We consider the model of random trees introduced by Devroye [SIAM J Comput 28, 409– 432, 1998]. The model encompasses many important randomized algorithms and data structures. T...
Nicolas Broutin, Cecilia Holmgren
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
13 years 7 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