Proper and Unit Trapezoid Orders and Graphs

Mathematics – Combinatorics

Scientific paper

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Scientific paper

We show that the class of trapezoid orders in which no trapezoid strictly
contains any other trapezoid strictly contains the class of trapezoid orders
in which every trapezoid can be drawn with unit area. This is different from
the case of interval orders, where the class of proper interval orders is
exactly the same as the class of unit interval orders.

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