Unit Interval Orders of Open and Closed Intervals
نویسندگان
چکیده
A poset P = (X,≺) 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 .
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ورودعنوان ژورنال:
- Order
دوره 33 شماره
صفحات -
تاریخ انتشار 2016