A Probabilistic Approach to Problems Parameterized above or below Tight Bounds

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 (J. Comput. Syst. Sci. 75, 2009). We show that a generalization of one of the problems and three nontrivial special cases of the other problem admit kernels of quadratic size.

• Type: Conference
• Year: 2009
• Where: IWPEC
• Authors: Gregory Gutin, Eun Jung Kim, Stefan Szeider, Anders Yeo
• Keywords: Applied Computing, IWPEC 2009, Problems, Tight Lower Bounds, Tight Upper Bounds