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ON THE JUMP NUMBER OF SPLITS OF ORDERED SETS

  • Jung, Hyung-Chan;Lee, Jeh-Gwon
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.685-690
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    • 2000
  • In this paper, we consider the jump number of the split P[S] of a subset S ordered set P. $For\ x\in\ P,\ we\ show\ that\ s(P)\leq\ s(P[x]\leq\ s(P)+2$ and give a necessary and sufficient condition for which s(P[x])=s(P).

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