Expected rank in antimatroids

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Expected rank in antimatroids ✩ Gary

We consider a probabilistic antimatroid A on the ground set E, where each element e ∈ E may succeed with probability pe . We focus on the expected rank ER(A) of a subset of E as a polynomial in the pe . General formulas hold for arbitrary antimatroids, and simpler expressions are valid for certain well-studied classes, including trees, rooted trees, posets, and finite subsets of the plane. We c...

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DIMACS Technical Report 2002 - 07 February 2002 Expected rank in antimatroids

We consider a probabilistic antimatroid A on the ground set E, where each element e ∈ E may succeed with probability pe. We focus on the expected rank ER(A) of a subset of E as a polynomial in the pe. General formulas hold for arbitrary antimatroids, and simpler expressions are valid for certain well-studied classes, including trees, rooted trees, posets, and finite subsets of the plane. We con...

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2004

ISSN: 0196-8858

DOI: 10.1016/s0196-8858(03)00085-x