On the powers of vertex cover ideals

Full metadata record

DC Field	Value	Language
dc.contributor.author	Kumar A.	en_US
dc.contributor.author	Kumar R.	en_US
dc.date.accessioned	2023-11-30T08:42:47Z	-
dc.date.available	2023-11-30T08:42:47Z	-
dc.date.issued	2022	-
dc.identifier.issn	0022-4049	-
dc.identifier.other	EID(2-s2.0-85107976831)	-
dc.identifier.uri	https://dx.doi.org/10.1016/j.jpaa.2021.106808	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/597	-
dc.description.abstract	Let S=K[x1,…,xn] be a polynomial ring, where K is a field, and G be a simple graph on n vertices. Let J(G)⊂S be the vertex cover ideal of G. Herzog, Hibi and Ohsugi have conjectured that all powers of vertex cover ideals of chordal graph are componentwise linear. Here we establish the conjecture for the special case of trees. We also show that if G is a unicyclic vertex decomposable graph, then symbolic powers of J(G) are componentwise linear. © 2021	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.source	Journal of Pure and Applied Algebra	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	On the powers of vertex cover ideals	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Journal Article