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Basic Interval Orders
Authors:Myers  Amy
Affiliation:(1) University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA, 19104, U.S.A.
Abstract:An interval order of lengthn has elements in correspondence with a collection of intervals in the linearly ordered set {1, 2, ..., n}. A basic interval order of length n has the property that removal of any element yields an order with length less than n. We construct and enumerate the set of basic length n interval orders.
Keywords:basic  interval order  length  minimal  poset  representation
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