Containment orders for similar ellipses with a common center (Q1849918)
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scientific article; zbMATH DE number 1838915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Containment orders for similar ellipses with a common center |
scientific article; zbMATH DE number 1838915 |
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Containment orders for similar ellipses with a common center (English)
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2 December 2002
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It is shown that every finite two-dimensional poset has an inclusion representation by similar noncircular ellipses centered at the origin. The representing ellipses have the same ratio \(r\) of minor axis length to major axis length, and any \(r\in (0,1)\) can be used for the representation.
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finite poset
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two-dimensional poset
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inclusion representation
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noncircular ellipses
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