Department

Computer Science, Mathematics

Document Type

Article

Publication Date

5-7-2015

Abstract

A poset P=(V,≺) is a unit OC interval order if there exists a representation that assigns an open or closed real interval I(x) of unit length to each x ∈ P so that x ≺ y in P precisely when each point of I(x) is less than each point in I(y). In this paper we give a forbidden poset characterization of the class of unit OC interval orders and an efficient algorithm for recognizing the class. The algorithm takes a poset P as input and either produces a representation or returns a forbidden poset induced in P.

Comments

Post-print version, January 12, 2015. Published version appears online in Order, May 7, 2015, DOI 10.1007/s11083-015-9354-z

Version

Post-print

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