| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4655894 | Journal of Combinatorial Theory, Series A | 2010 | 15 Pages |
Abstract
In this paper, we study flag structures of matroid base polytopes. We describe faces of matroid base polytopes in terms of matroid data, and give conditions for hyperplane splits of matroid base polytopes. Also, we show how the cd-index of a polytope can be expressed when a polytope is split by a hyperplane, and apply these to the cd-index of a matroid base polytope of a rank 2 matroid.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
