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113
Voted
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 7 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
134
Voted
TCS
2008
15 years 3 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...
SODA
2010
ACM
196views Algorithms» more  SODA 2010»
16 years 28 days 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 10 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 10 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...