Flag enumerations of matroid base polytopes

Details Flag enumerations of matroid base polytopes Flag enumerations of matroid base polytopes

2009-01-22

arxiv.org/abs/0901.3534v2

Mathematics

Combinatorics

20 pages, 1 figure, minor corrections

Scientific paper

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.

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