<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Amirkabir University of Technology</PublisherName>
				<JournalTitle>AUT Journal of Mathematics and Computing</JournalTitle>
				<Issn>2783-2449</Issn>
				<Volume>7</Volume>
				<Issue>4</Issue>
				<PubDate PubStatus="epublish">
					<Year>2026</Year>
					<Month>10</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Waldschmidt constant of some classes of hypergraphs</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>391</FirstPage>
			<LastPage>397</LastPage>
			<ELocationID EIdType="pii">5563</ELocationID>
			
<ELocationID EIdType="doi">10.22060/ajmc.2024.23561.1266</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Iman</FirstName>
					<LastName>Jahani</LastName>
<Affiliation>Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Shamila</FirstName>
					<LastName>Bayati</LastName>
<Affiliation>Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2024</Year>
					<Month>09</Month>
					<Day>30</Day>
				</PubDate>
			</History>
		<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.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Edge Ideal</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Hyperstar</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Symbolic defect</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Symbolic power</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Waldschmidt constant</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ajmc.aut.ac.ir/article_5563_d02e9bdc27a894e882fa0c9055c99722.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
