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FOCS
2009
IEEE
14 years 1 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...
COMPGEOM
1994
ACM
13 years 10 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir
COMPGEOM
2006
ACM
13 years 10 months ago
I/O-efficient batched union-find and its applications to terrain analysis
Despite extensive study over the last four decades and numerous applications, no I/O-efficient algorithm is known for the union-find problem. In this paper we present an I/O-effic...
Pankaj K. Agarwal, Lars Arge, Ke Yi
ICCAD
1999
IEEE
181views Hardware» more  ICCAD 1999»
13 years 10 months ago
A new heuristic for rectilinear Steiner trees
The minimum rectilinear Steiner tree (RST) problem is one of the fundamental problems in the field of electronic design automation. The problem is NP-hard, and much work has been ...
Ion I. Mandoiu, Vijay V. Vazirani, Joseph L. Ganle...
TASE
2010
IEEE
13 years 1 months ago
Coverage of a Planar Point Set With Multiple Robots Subject to Geometric Constraints
This paper focuses on the assignment of discrete points among K robots and determining the order in which the points should be processed by the robots, in the presence of geometric...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen