Linear extensions of finite posets

Published 5 Nov 2023 in math.CO and cs.DM | (2311.02743v2)

Abstract: We give a broad survey of inequalities for the number of linear extensions of finite posets. We review many examples, discuss open problems, and present recent results on the subject. We emphasize the bounds, the equality conditions of the inequalities, and the computational complexity aspects of the results.

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