Flag enumerations of matroid base polytopes

Authors:
Sangwook Kim
Affiliations:
Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA
Venue:
Journal of Combinatorial Theory Series A
Year:
2010

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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.