Centre for Discrete and Applicable Mathematics
	CDAM Research Report, LSE-CDAM-2003-18 November 2003

Abstract

We revisit the question of counting the number of linear extensions of the Boolean lattice, relating this to the polyhedral methods of Kahn and Kim, and of Stanley. We give simpler proofs of various known results, and give an upper bound on the number of linear extensions of an arbitrary ranked poset satisfying the LYM condition.

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