Cover: A New Characterization of Partial Orders of Dimension Two.

A New Characterization of Partial Orders of Dimension Two.

by K. A. Baker, Peter C. Fishburn, Fred S. Roberts


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback5 pages $20.00 $16.00 20% Web Discount

Every partial order is the intersection of a family of linear orders. The dimension of a partial order is the size of the smallest such family. A new characterization for partial orders of dimension two is obtained by using an old characterization of Dushnik and Miller and a theorem of Gilmore and Hoffman on comparability graphs. 5 pp. Ref. (KB)

This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.