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Discrete Polymatroids

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Abstract

In Chapter 12 we consider discrete polymatroids and polymatroidal ideals. After giving a short introduction to the combinatorics and geometry of discrete polymatroids, the algebraic properties of its base ring are studied. We close Chapter 12 by presenting polymatroidal and weakly polymatroidal ideals, which provide large classes of ideals with linear quotients.

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Correspondence to Jürgen Herzog .

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© 2011 Springer-Verlag London Limited

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Herzog, J., Hibi, T. (2011). Discrete Polymatroids. In: Monomial Ideals., vol 260. Springer, London. https://doi.org/10.1007/978-0-85729-106-6_12

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