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STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 1 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
TCS
2008
14 years 10 months ago
Finding a minimum medial axis of a discrete shape is NP-hard
The medial axis is a classical representation of digital objects widely used in many applications. However, such a set of balls may not be optimal: subsets of the medial axis may ...
David Coeurjolly, Jérôme Hulin, Isabe...
80
Voted
SODA
2010
ACM
196views Algorithms» more  SODA 2010»
15 years 7 months ago
Streaming Algorithms for extent problems in high dimensions
We develop (single-pass) streaming algorithms for maintaining extent measures of a stream S of n points in Rd . We focus on designing streaming algorithms whose working space is p...
Pankaj K Agarwal, R. Sharathkumar
COMPGEOM
2009
ACM
15 years 4 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
FOCS
2008
IEEE
15 years 4 months ago
The Power of Reordering for Online Minimum Makespan Scheduling
In the classic minimum makespan scheduling problem, we are given an input sequence of jobs with processing times. A scheduling algorithm has to assign the jobs to m parallel machi...
Matthias Englert, Deniz Özmen, Matthias Weste...