Work

Shellability of Componentwise Discrete Polymatroids

Year: 2025

Type: article

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. We introduce componentwise discrete polymatroids, as the combinatorial counterpart of componentwise polymatroidal ideals, and show that they are shellable multicomplexes.

Source: The Electronic Journal of Combinatorics

DOI: 10.37236/12818

Author: Antonino Ficarra

Institution: University of Messina

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408492496

FWCI: 10.85

Cites:

Cited by: 3

Related to: 10