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On minimizing the jump number for interval orders

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Abstract

The purpose of this paper is to give an ‘effective’ characterization of all interval orders which are ‘greedy’ with respect to the ‘jump number’ problem.

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References

  • H. A.Kierstead (1986) NP-completeness results concerning greedy and super greedy linear extensions,Order 3, 123–134.

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  • I.Rival and N.Zaguia (1986) Constructing greedy linear extensions by interchanging chains,Order 3, 107–121.

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  • I.Rival and Z.Zaguia (1987) Greedy linear extensions with constraints,Discrete Math. 63, 249–260.

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Communicated by I. Rival

This research (Math/1406/30) was supported by the Research Center, College of Science, King Saud University, Riyadh, Saudi Arabia.

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Ghazal, T., Sharary, A. & Zaguia, N. On minimizing the jump number for interval orders. Order 4, 341–350 (1988). https://doi.org/10.1007/BF00714476

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  • DOI: https://doi.org/10.1007/BF00714476

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