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The number of depth-first searches of an ordered set

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Abstract

We show that the problems of deciding whether an ordered set has at leastk depth-first linear extensions and whether an ordered set has at leastk greedy linear extensions are NP-hard.

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Communicated by D. Kelly

Supported by Office of Naval Research contract N00014-85K-0494.

Supported by National Science Foundation grant DMS-8713994.

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Kierstead, H.A., Trotter, W.T. The number of depth-first searches of an ordered set. Order 6, 295–303 (1989). https://doi.org/10.1007/BF00563529

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  • DOI: https://doi.org/10.1007/BF00563529

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