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SODA
2003
ACM
102views Algorithms» more  SODA 2003»
13 years 5 months ago
On the complexity of distance-based evolutionary tree reconstruction
Valerie King, Li Zhang, Yunhong Zhou
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
13 years 5 months ago
Root comparison techniques applied to computing the additively weighted Voronoi diagram
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...
Menelaos I. Karavelas, Ioannis Z. Emiris
SODA
2003
ACM
127views Algorithms» more  SODA 2003»
13 years 5 months ago
Binary space partitions for 3D subdivisions
We consider the following question: Given a subdivision of space into n convex polyhedral cells, what is the worst-case complexity of a binary space partition (BSP) for the subdiv...
John Hershberger, Subhash Suri
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 5 months ago
Integrality ratio for group Steiner trees and directed steiner trees
The natural relaxation for the Group Steiner Tree problem, as well as for its generalization, the Directed Steiner Tree problem, is a flow-based linear programming relaxation. We...
Eran Halperin, Guy Kortsarz, Robert Krauthgamer, A...
SODA
2003
ACM
167views Algorithms» more  SODA 2003»
13 years 5 months ago
Counting inversions in lists
In a recent paper, Ajtai et al. [1] give a streaming algorithm to count the number of inversions in a stream Ä ¾ Ñ Ò using two passes and Ç´¯ ½ ÔÒÐÓ Ò´ÐÓ Ñ·ÐÓ...
Anupam Gupta, Francis Zane
SODA
2003
ACM
121views Algorithms» more  SODA 2003»
13 years 5 months ago
Improved results for directed multicut
We give a simple algorithm for the MINIMUM DIRECTED MULTICUT problem, and show that it gives an Ç´ÔÒµapproximation. This improves on the previous approximation guarantee of ...
Anupam Gupta
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
13 years 5 months ago
Zonotopes as bounding volumes
Zonotopes are centrally symmetric polytopes with a very special structure: they are the Minkowski sum of line segments. In this paper we propose to use zonotopes as bounding volum...
Leonidas J. Guibas, An Nguyen, Li Zhang
SODA
2003
ACM
81views Algorithms» more  SODA 2003»
13 years 5 months ago
High-order entropy-compressed text indexes
Roberto Grossi, Ankur Gupta, Jeffrey Scott Vitter
SODA
2003
ACM
121views Algorithms» more  SODA 2003»
13 years 5 months ago
An improved approximation algorithm for the partial latin square extension problem
Previous work on the partial Latin square extension (PLSE) problem resulted in a 2-approximation algorithm based on the LP relaxation of a three-dimensional assignment IP formulat...
Carla P. Gomes, Rommel G. Regis, David B. Shmoys
SODA
2003
ACM
121views Algorithms» more  SODA 2003»
13 years 5 months ago
Competitiveness via consensus
We introduce the following consensus estimate problem. Several processors hold private and possibly different lower bounds on a value. The processors do not communicate with each ...
Andrew V. Goldberg, Jason D. Hartline