Centre for Discrete and Applicable Mathematics

CDAM Research Report, LSE-CDAM-2004-12

June 2004

Note on Counting Eulerian Circuits

Graham R. Brightwell and Peter Winkler

Abstract

We show that the problem of counting the number of Eulerian circuits in an undirected graph is complete for the class #P.

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		CDAM Research Reports Series Centre for Discrete and Applicable Mathematics London School of Economics Houghton Street London WC2A 2AE, U.K.
		Phone: +44(0)-20-7955 7732. Fax: +44(0)-20-7955 6877. Email: info@cdam.lse.ac.uk