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DOE OSTI · 1888568

Dimension of Restricted Classes of Interval Orders

Keller, Mitchel T.·Trenk, Ann N.·Young, Stephen J.
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Abstract

Rabinovitch showed in 1978 that the interval orders having a representation consisting of only closed unit intervals have order dimension at most 3. Herein, this article shows that the same dimension bound applies to two other classes of posets: those having a representation consisting of unit intervals (but with a mixture of open and closed intervals allowed) and those having a representation consisting of closed intervals with lengths in {0,1}.

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97 MATHEMATICS AND COMPUTINGdimensiondimension theoryinterval orderposetsemiorderunit OC interval order

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Keller, Mitchel T., Trenk, Ann N., Young, Stephen J.. 2022-08-09. Dimension of Restricted Classes of Interval Orders. https://doi.org/10.1007/s00373-022-02543-6

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