<p>Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on Brion’s integration formula. The second computation is a step-by-step method using deletion of elements in the matroid as studied by Braden, Huh, Matherne, Proudfoot and Wang.</p>

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Mixed Volumes of Matroids

  • Andy Hsiao,
  • Kalle Karu,
  • Jonathan Yang

摘要

Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on Brion’s integration formula. The second computation is a step-by-step method using deletion of elements in the matroid as studied by Braden, Huh, Matherne, Proudfoot and Wang.