Shellability of Componentwise Discrete Polymatroids
Antonino Ficarra
TL;DR
This paper proves that componentwise polymatroidal ideals have linear quotients, confirming a conjecture and advancing understanding of their algebraic properties in combinatorial commutative algebra.
Contribution
It establishes that componentwise polymatroidal ideals possess linear quotients, resolving a conjecture and contributing to the theory of polymatroids.
Findings
Proved that componentwise polymatroidal ideals have linear quotients.
Confirmed a conjecture of Bandari and Herzog.
Advances the understanding of algebraic properties of polymatroids.
Abstract
In the present paper, motivated by a conjecture of Jahan and Zheng, we prove that componentwise polymatroidal ideals have linear quotients. This solves positively a conjecture of Bandari and Herzog.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Combinatorial Mathematics · Coding theory and cryptography