Waldschmidt constant of some classes of hypergraphs

In this paper, we present a formula for the Waldschmidt constant of edge ideals of some classes of hypergraphs. We also show that if $G$ is a simple graph with binomial edge ideal $J_G$, then the Waldschmidt constant of $J_G$ is always 2. Furthermore, the symbolic defect of umbrella hypergraphs is presented.

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Publication Details

Journal
DOAJ (DOAJ: Directory of Open Access Journals)
Published
2026-10-01
DOI
https://doi.org/10.22060/ajmc.2024.23561.1266
Primary Topic
Commutative Algebra and Its Applications
Type
article
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article

Waldschmidt constant of some classes of hypergraphs

Shamila Bayati, Iman Jahani
DOAJ (DOAJ: Directory of Open Access Journals)
Commutative Algebra and Its Applications
article

Waldschmidt constant of some classes of hypergraphs

Shamila Bayati, Iman Jahani
article en

Abstract

In this paper, we present a formula for the Waldschmidt constant of edge ideals of some classes of hypergraphs. We also show that if $G$ is a simple graph with binomial edge ideal $J_G$, then the Waldschmidt constant of $J_G$ is always 2. Furthermore, the symbolic defect of umbrella hypergraphs is presented.

DOAJ (DOAJ: Directory of Open Access Journals)
Reduced inequalities
Openalex Percentile: Top 8%
Commutative Algebra and Its Applications
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Waldschmidt constant of some classes of hypergraphs — Shamila Bayati, Iman Jahani · DOAJ (DOAJ: Directory of Open Access Journals) (2026) | TGRS Research Map | TGRS