7 citations · 7 across the 3 of their papers we have counts for
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math.CO2017
Tolerance Orders of Open and Closed Intervals
Alan Shuchat, Randy Shull, Ann N Trenk
In this paper we combine ideas from tolerance orders with recent work on OC interval orders. We consider representations of posets by unit intervals in which the interval end…
math.CO2015
Unit Interval Orders of Open and Closed Intervals
Alan Shuchat, Randy Shull, Ann Trenk
A poset is a unit OC interval order if there exists a representation that assigns an open or closed real interval of unit length to each so that $x…
math.CO2014★ 7 cited
Unit Mixed Interval Graphs
Alan Shuchat, Randy Shull, Ann N. Trenk +1
In this paper we extend the work of Rautenbach and Szwarcfiter by giving a structural characterization of graphs that can be represented by the intersection of unit intervals that…