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On minimizing jumps for ordered sets

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Abstract

An ordered set P is called K-free if it does not contain a four-element subset {a, b, c, d} such that a < b is the only comparability among these elements. In this paper we present a polynomial algorithm to find the jump number of K-free ordered sets.

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Communicated by R. H. Möhring

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Sharary, A.H., Zaguia, N. On minimizing jumps for ordered sets. Order 7, 353–359 (1990). https://doi.org/10.1007/BF00383200

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  • DOI: https://doi.org/10.1007/BF00383200

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