Dyer, Martin, Goldberg, Leslie Ann, Greenhill, Catherine and Jerrum, Mark (2000) On the relative complexity of approximate counting problems. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)

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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.

Item Type:	Report
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Computer Science
Library of Congress Subject Headings (LCSH):	Counting, Computational complexity
Series Name:	Department of Computer Science research report
Publisher:	University of Warwick. Department of Computer Science
Official Date:	28 February 2000
Dates:	Date Event 28 February 2000 Completion
Number:	Number 370
Number of Pages:	30
DOI:	CS-RR-370
Institution:	University of Warwick
Theses Department:	Department of Computer Science
Status:	Not Peer Reviewed
Publication Status:	Unpublished
Funder:	Engineering and Physical Sciences Research Council (EPSRC), European Strategic Programme of Research and Development in Information Technology (ESPRIT), Leverhulme Trust (LT)
Related URLs:	Organisation

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