A New Characterization of Partial Orders of Dimension Two.

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

ResearchPublished 1970

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)

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1970
  • Print Format: Paperback
  • Paperback Pages: 5
  • Paperback Price: $20.00
  • Document Number: P-4339

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RAND Style Manual
Baker, K. A., Peter C. Fishburn, and Fred S. Roberts, A New Characterization of Partial Orders of Dimension Two. RAND Corporation, P-4339, 1970. As of September 24, 2024: https://www.rand.org/pubs/papers/P4339.html
Chicago Manual of Style
Baker, K. A., Peter C. Fishburn, and Fred S. Roberts, A New Characterization of Partial Orders of Dimension Two. Santa Monica, CA: RAND Corporation, 1970. https://www.rand.org/pubs/papers/P4339.html. Also available in print form.
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