AUT Journal of Mathematics and Computing

AUT Journal of Mathematics and Computing

Waldschmidt constant of some classes of hypergraphs

Articles in Press

Document Type : Original Article

Authors
Iman Jahani
Shamila Bayati
Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
10.22060/ajmc.2024.23561.1266
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.
Keywords
Edge ideal
Hyperstar
Symbolic defect
Symbolic power
Waldschmidt constant
Subjects
AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 14 October 2024