Powers of vertex cover ideals of simplicial trees

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DC Field	Value	Language
dc.rights.license	All Open Access, Green	-
dc.contributor.author	Bijender	en_US
dc.contributor.author	Kumar A.	en_US
dc.contributor.author	Kumar R.	en_US
dc.date.accessioned	2023-11-30T08:32:30Z	-
dc.date.available	2023-11-30T08:32:30Z	-
dc.date.issued	2023	-
dc.identifier.issn	0025584X	-
dc.identifier.other	EID(2-s2.0-85173737095)	-
dc.identifier.uri	https://dx.doi.org/10.1002/mana.202200510	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/432	-
dc.description.abstract	In 2011, Herzog et al. conjectured that if J is the cover ideal of a chordal graph, then (Formula presented.) is componentwise linear for all (Formula presented.). In 2022, Hà and Van Tuyl considered objects more general than chordal graphs and posed the following problem: let (Formula presented.) be the cover ideal of a simplicial tree Γ. Is it true that (Formula presented.) is componentwise linear for all (Formula presented.) In this paper, we give an affirmative answer to this problem. © 2023 Wiley-VCH GmbH.	en_US
dc.language.iso	en	en_US
dc.publisher	John Wiley and Sons Inc	en_US
dc.source	Mathematische Nachrichten	en_US
dc.subject	componentwise linear	en_US
dc.subject	regularity	en_US
dc.subject	sequentially Cohen–Macaulay	en_US
dc.subject	symbolic powers	en_US
dc.subject	vertex cover ideal	en_US
dc.subject	vertex decomposable	en_US
dc.title	Powers of vertex cover ideals of simplicial trees	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Journal Article