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Comparability Invariance Results for Tolerance Orders |
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| Authors: | Bogart Kenneth P Laison Joshua D Isaak Garth Trenk Ann N |
| Institution: | (1) Department of Mathematics, Dartmouth College, Hanover, NH, 03755, U.S.A;(2) Department of Mathematics, Lehigh University, Lehigh, PA, 18015, U.S.A;(3) Department of Mathematics, Wellesley College, Wellesley, MA 02481, U.S.A |
| Abstract: | We prove comparability invariance results for three classes of ordered sets: bounded tolerance orders (equivalent to parallelogram orders), unit bitolerance orders (equivalent to point-core bitolerance orders) and unit tolerance orders (equivalent to 50% tolerance orders). Each proof uses a different technique and relies on the alternate characterization. |
| Keywords: | comparability invariant interval orders ordered sets tolerance order |
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