September 23, 2022
Journal Article

## Abstract

Rabinovitch showed in 1978 that the interval orders having a representation consisting of only closed unit intervals have order dimension at most 3. 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}.

Published: September 23, 2022

## Citation

Keller M.T., A. Trenk, and S.J. Young. 2022. Dimension of Restricted Classes of Interval Orders. Graphs and Combinatorics 38, no. 5:Art. No. 137. PNNL-SA-152654. doi:10.1007/s00373-022-02543-6