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Discrete Polymatroids

In: Monomial Ideals

Author

Listed:
  • Jürgen Herzog

    (Universität Duisburg-Essen, Fachbereich Mathematik)

  • Takayuki Hibi

    (Osaka University, Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology)

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.

Suggested Citation

  • Jürgen Herzog & Takayuki Hibi, 2011. "Discrete Polymatroids," Springer Books, in: Monomial Ideals, chapter 12, pages 237-261, Springer.
    • Handle: RePEc:spr:sprchp:978-0-85729-106-6_12
    DOI: 10.1007/978-0-85729-106-6_12
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