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» Polynomial Time Data Reduction for Dominating Set
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STACS
2000
Springer
15 years 29 days ago
Almost Complete Sets
We show that there is a set that is almost complete but not complete under polynomial-time many-one (p-m) reductions for the class E of sets computable in deterministic time 2lin ...
Klaus Ambos-Spies, Wolfgang Merkle, Jan Reimann, S...
TAMC
2009
Springer
15 years 4 months ago
On Parameterized Exponential Time Complexity
In this paper we define the notion of an f(k)-uniform parameterized exponential time scheme. We show that a problem can be solved in parameterized O(2o(f(k)) p(n)) time if and on...
Jianer Chen, Iyad A. Kanj, Ge Xia
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 1 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
ECCC
2007
122views more  ECCC 2007»
14 years 9 months ago
Infeasibility of Instance Compression and Succinct PCPs for NP
The OR-SAT problem asks, given Boolean formulae φ1, . . . , φm each of size at most n, whether at least one of the φi’s is satisfiable. We show that there is no reduction fr...
Lance Fortnow, Rahul Santhanam
ICCS
2007
Springer
15 years 3 months ago
Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems
Assimilation of spatially- and temporally-distributed state observations into simulations of dynamical systems stemming from discretized PDEs leads to inverse problems with high-di...
Omar Bashir, Omar Ghattas, Judith Hill, Bart G. va...