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arXiv · 1311.1612

Linear Extensions of N-free Orders

Stefan Felsner·Thibault Manneville
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Abstract

We consider the number of linear extensions of an N-free order P. We give upper and lower bounds on this number in terms of parameters of the corresponding arc diagram. We propose a dynamic programming algorithm to calculate the number. The algorithm is polynomial if a new parameter called activity is bounded by a constant. The activity can be bounded in terms of parameters of the arc diagram.

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Stefan Felsner, Thibault Manneville. 2013-11-07. Linear Extensions of N-free Orders. https://doi.org/10.1007/s11083-014-9321-0

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