A New Characterization of Partial Orders of Dimension Two.

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

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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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