@article{Dyer/03, title = {The Relative Complexity of Approximate Counting Problems}, author = {Martin Dyer and Leslie Ann Goldberg and Catherine Greenhill and Mark Jerrum}, journal = {Algorithmica}, month = {12}, number = {3}, pages = {471--500}, url = {http://dx.doi.org/10.1007/s00453-003-1073-y}, volume = {38}, year = {2003}, biburl = {http://www.bibsonomy.org/bibtex/2c3e94d1f515ed292bdc74d16047c643b/mboley}, description = {SpringerLink - Zeitschriftenbeitrag}, abstract = {Two natural classes of counting problems that are interreducible under approximation-preserving reductions are: (i) those that admit a particular kind of efficient approximation algorithm known as an FPRAS, and (ii) those that are complete for #P with respect to approximation-preserving reducibility. We describe and investigate not only these two classes but also a third class, of intermediate complexity, that is not known to be identical to (i) or (ii). The third class can be characterised as the hardest problems in a logically defined subclass of #P.}, keywords = {approximation complexity counting } }