RAIRO-Theor. Inf. Appl.
Volume 45, Number 2, April-June 2011
|Page(s)||197 - 223|
|Published online||18 April 2011|
On the parameterized complexity of approximate counting
Escuela de Matemáticas, Universidad industrial de Santander, Spain;
Accepted: 1 February 2011
In this paper we study the parameterized complexity of approximating the parameterized counting problems contained in the class , the parameterized analogue of . We prove a parameterized analogue of a famous theorem of Stockmeyer claiming that approximate counting belongs to the second level of the polynomial hierarchy.
Mathematics Subject Classification: 68Q15 / 68Q17
Key words: Computational complexity / parameterized complexity / counting problems / approximate counting
© EDP Sciences, 2011
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