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117
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STACS
2010
Springer
15 years 9 months ago
Dispersion in Unit Disks
We present two new approximation algorithms with (improved) constant ratios for selecting n points in n unit disks such that the minimum pairwise distance among the points is maxi...
Adrian Dumitrescu, Minghui Jiang
ICALP
2010
Springer
15 years 7 months ago
The Positive Semidefinite Grothendieck Problem with Rank Constraint
Given a positive integer n and a positive semidefinite matrix A = (Aij ) ∈ Rm×m the positive semidefinite Grothendieck problem with rank-nconstraint is (SDPn) maximize mX i=1 ...
Jop Briët, Fernando Mário de Oliveira ...
138
Voted
STOC
2000
ACM
156views Algorithms» more  STOC 2000»
15 years 6 months ago
Near optimal multiple alignment within a band in polynomial time
Multiple sequence alignment is a fundamental problem in computational biology. Because of its notorious difficulties, aligning sequences within a constant band (c-diagonal) is a ...
Ming Li, Bin Ma, Lusheng Wang
FOCS
2006
IEEE
15 years 8 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
15 years 8 months ago
On strip packing With rotations
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
Klaus Jansen, Rob van Stee