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STACS
2010
Springer
14 years 2 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
STACS
2010
Springer
14 years 2 months ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar
STACS
2010
Springer
14 years 2 months ago
Evolving Multialgebras Unify All Usual Sequential Computation Models
Abstract. It is well-known that Abstract State Machines (ASMs) can simulate “stepby-step” any type of machines (Turing machines, RAMs, etc.). We aim to overcome two facts: 1) s...
Serge Grigorieff, Pierre Valarcher
STACS
2010
Springer
14 years 2 months ago
Quantum Algorithms for Testing Properties of Distributions
Abstract. Suppose one has access to oracles generating samples from two unknown probability distributions p and q on some N-element set. How many samples does one need to test whet...
Sergey Bravyi, Aram Wettroth Harrow, Avinatan Hass...
STACS
2010
Springer
14 years 1 months ago
Collapsing and Separating Completeness Notions under Average-Case and Worst-Case Hypotheses
This paper presents the following results on sets that are complete for NP. (i) If there is a problem in NP that requires 2nΩ(1) time at almost all lengths, then every many-one N...
Xiaoyang Gu, John M. Hitchcock, Aduri Pavan