Name
Abstract | ||
|---|---|---|
In 2005, we defined the n-tube orders, which are the n-dimensional analogue of interval orders in 1 dimension, and trapezoid orders in 2 dimensions. In this paper we consider two
variations of n-tube orders: unit n-tube orders and proper n-tube orders. It has been proven that the classes of unit and proper interval orders are equal, and the classes of unit and
proper trapezoid orders are not. We prove that the classes of unit and proper n-tube orders are not equal for all n ≥ 3, so the general case follows the situation in 2 dimensions. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s11083-008-9091-7 | Order |
Keywords | Field | DocType |
Interval order,Trapezoid order,Interval-order dimension,Tube order,Geometric representations of ordered sets | Discrete mathematics,Interval order,Combinatorics,Order dimension,Inequality,Partially ordered set,Mathematics,One-dimensional space | Journal |
Volume | Issue | ISSN |
25 | 3 | 0167-8094 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joshua D. Laison | 1 | 38 | 7.08 |