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A balanced pair in an ordered set P = (V,�) is a pair (x,y) of elements of V such that the proportion of linear extensions of P that put x before y is in the real interval [1/3,2/3]. We prove that every finite N-free ordered set which is not totally ordered has a balanced pair

Topics:
Ordered set, Linear extension, N-free, Balanced pair, 1/3-2/3 Conjecture

Year: 2013

OAI identifier:
oai:CiteSeerX.psu:10.1.1.371.2981

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