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FOCS
2006
IEEE
13 years 11 months ago
Generalization of Binary Search: Searching in Trees and Forest-Like Partial Orders
We extend the binary search technique to searching in trees. We consider two models of queries: questions about vertices and questions about edges. We present a general approach t...
Krzysztof Onak, Pawel Parys
SODA
2008
ACM
150views Algorithms» more  SODA 2008»
13 years 6 months ago
Finding an optimal tree searching strategy in linear time
We address the extension of the binary search technique from sorted arrays and totally ordered sets to trees and tree-like partially ordered sets. As in the sorted array case, the...
Shay Mozes, Krzysztof Onak, Oren Weimann
DAM
2008
135views more  DAM 2008»
13 years 4 months ago
Edge ranking and searching in partial orders
: We consider a problem of searching an element in a partially ordered set (poset). The goal is to find a search strategy which minimizes the number of comparisons. Ben-Asher, Farc...
Dariusz Dereniowski
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
13 years 6 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
ALGORITHMICA
2011
12 years 12 months ago
An Approximation Algorithm for Binary Searching in Trees
We consider the problem of computing efficient strategies for searching in trees. As a generalization of the classical binary search for ordered lists, suppose one wishes to find...
Eduardo Sany Laber, Marco Molinaro