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SODA
2008
ACM
150views Algorithms» more  SODA 2008»
14 years 11 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
SODA
2008
ACM
106views Algorithms» more  SODA 2008»
14 years 11 months ago
Exact and efficient 2D-arrangements of arbitrary algebraic curves
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
Arno Eigenwillig, Michael Kerber
SODA
2008
ACM
143views Algorithms» more  SODA 2008»
14 years 11 months ago
Dynamic optimality for skip lists and B-trees
Sleator and Tarjan [39] conjectured that splay trees are dynamically optimal binary search trees (BST). In this context, we study the skip list data structure introduced by Pugh [...
Prosenjit Bose, Karim Douïeb, Stefan Langerma...
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
14 years 11 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
SODA
2008
ACM
89views Algorithms» more  SODA 2008»
14 years 11 months ago
Earth mover distance over high-dimensional spaces
The Earth Mover Distance (EMD) between two equalsize sets of points in Rd is defined to be the minimum cost of a bipartite matching between the two pointsets. It is a natural metr...
Alexandr Andoni, Piotr Indyk, Robert Krauthgamer