Parameterizing above guaranteed values: MaxSat and MaxCut
Journal of Algorithms
Algorithms with large domination ratio
Journal of Algorithms
On the advantage over a random assignment
Random Structures & Algorithms
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
The Linear Arrangement Problem Parameterized Above Guaranteed Value
Theory of Computing Systems
Fixed-Parameter Complexity of Minimum Profile Problems
Algorithmica - Parameterized and Exact Algorithms
Parameterizing above or below guaranteed values
Journal of Computer and System Sciences
Digraphs: Theory, Algorithms and Applications
Digraphs: Theory, Algorithms and Applications
Interval Completion Is Fixed Parameter Tractable
SIAM Journal on Computing
Note on Max Lin-2 above Average
Information Processing Letters
Betweenness parameterized above tight lower bound
Journal of Computer and System Sciences
Solving MAX-r-SAT above a tight lower bound
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
ESA'10 Proceedings of the 18th annual European conference on Algorithms: Part I
Systems of linear equations over F2 and problems parameterized above average
SWAT'10 Proceedings of the 12th Scandinavian conference on Algorithm Theory
Parameterized Complexity
Note on maximal bisection above tight lower bound
Information Processing Letters
Theoretical Computer Science
On parameterized independent feedback vertex set
COCOON'11 Proceedings of the 17th annual international conference on Computing and combinatorics
Journal of Computer and System Sciences
Improved parameterized algorithms for above average constraint satisfaction
IPEC'11 Proceedings of the 6th international conference on Parameterized and Exact Computation
Parameterized complexity of maxsat above average
LATIN'12 Proceedings of the 10th Latin American international conference on Theoretical Informatics
New lower bound on max cut of hypergraphs with an application to r-set splitting
LATIN'12 Proceedings of the 10th Latin American international conference on Theoretical Informatics
Discrete Optimization
Kernelization --- preprocessing with a guarantee
The Multivariate Algorithmic Revolution and Beyond
Constraint satisfaction problems parameterized above or below tight bounds: a survey
The Multivariate Algorithmic Revolution and Beyond
Communication: Hypercontractive inequality for pseudo-Boolean functions of bounded Fourier width
Discrete Applied Mathematics
Parameterized study of the test cover problem
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
Parameterized complexity of MaxSat Above Average
Theoretical Computer Science
Satisfying more than half of a system of linear equations over GF(2): A multivariate approach
Journal of Computer and System Sciences
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We introduce a new approach for establishing fixed-parameter tractability of problems parameterized above tight lower bounds or below tight upper bounds. To illustrate the approach we consider two problems of this type of unknown complexity that were introduced by Mahajan, Raman and Sikdar [M. Mahajan, V. Raman, S. Sikdar, Parameterizing above or below guaranteed values, J. Comput. System Sci. 75 (2) (2009) 137-153]. We show that a generalization of one of the problems and three non-trivial special cases of the other problem admit kernels of quadratic size. As a byproduct we obtain a new probabilistic inequality that could be of independent interest. Our new inequality is dual to the Hypercontractive Inequality.