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FOCS
2009
IEEE
15 years 6 months ago
On Allocating Goods to Maximize Fairness
Given a set A of m agents and a set I of n items, where agent A ∈ A has utility uA,i for item i ∈ I, our goal is to allocate items to agents to maximize fairness. Specificall...
Deeparnab Chakrabarty, Julia Chuzhoy, Sanjeev Khan...
STOC
1990
ACM
108views Algorithms» more  STOC 1990»
15 years 3 months ago
Optimal Randomized Algorithms for Local Sorting and Set-Maxima
We present randomized algorithms for two sorting problems. In the local sorting problem, a graph is given in which each vertex is assigned an element of a total order, and the task...
Wayne Goddard, Valerie King, Leonard J. Schulman
SOFSEM
2007
Springer
15 years 5 months ago
Algorithmic Aspects of Minimum Energy Edge-Disjoint Paths in Wireless Networks
The problem of finding k minimum energy, edge-disjoint paths in wireless networks (MEEP) arises in the context of routing and belongs to the class of range assignment problems. A ...
Markus Maier, Steffen Mecke, Dorothea Wagner
COMPGEOM
2010
ACM
15 years 4 months ago
A dynamic data structure for approximate range searching
In this paper, we introduce a simple, randomized dynamic data structure for storing multidimensional point sets, called a quadtreap. This data structure is a randomized, balanced ...
David M. Mount, Eunhui Park
FOCS
2008
IEEE
15 years 6 months ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket