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- W1629366369 abstract "In 1981, Stanley applied the Aleksandrov–Fenchel Inequalities to prove a logarithmic concavity theorem for regular matroids. Using ideas from electrical network theory we prove a generalization of this for the wider class of matroids with the half–plane property. Then we explore a nest of inequalities for weighted basis–generating polynomials that are related to these ideas. As a first result from this investigation we find that every matroid of rank three or corank three satisfies a condition only slightly weaker than the conclusion of Stanley's theorem." @default.
- W1629366369 created "2016-06-24" @default.
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- W1629366369 date "2005-04-13" @default.
- W1629366369 modified "2023-10-01" @default.
- W1629366369 title "Matroid Inequalities from Electrical Network Theory" @default.
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- W1629366369 doi "https://doi.org/10.37236/1893" @default.
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