This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...
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...
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...
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...
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 ...
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...
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...
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 ...