| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4652357 | Electronic Notes in Discrete Mathematics | 2009 | 5 Pages |
Abstract
The linear extension diameter of a finite poset P is the maximum distance between a pair of linear extensions of P, where the distance between two linear extensions is the number of pairs of elements of P appearing in different orders in the two linear extensions. We prove a formula for the linear extension diameter of Boolean Lattices and characterize all pairs of linear extensions attaining the maximum distance. These results can be extended to all downset lattices of 2-dimensional posets.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
