Checking if a polytope is a matroid polytope



  • A theorem by [GGMS] says that a polytope with vertices in {0,1}n is a matroid polytope if and only if every edge of the polytope is parallel to ei−ej for some i and j.

    My question is, has this been implemented somewhere in polymake? Specifically, I would like to be able to ask if a polytope is a matroid polytope or not.

    Additionally, we say a regular subdivision is a matroid subdivision if every polytope in the subdivision is a matroid polytope. I would like to be able to test if a regular subdivision is a matroid subdivision or not as well.



  • @anhphuong This seems to be the wrong forum for your question. You should go to https://forum.polymake.org/


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