Algebraic Invariants of the Powers of Edge Ideals of Caterpillars and some Forests

dc.contributor.author	Shehneer, Khan
dc.date.accessioned	2023-09-13T04:36:16Z
dc.date.available	2023-09-13T04:36:16Z
dc.date.issued	2023-09-12
dc.identifier.uri	http://10.250.8.41:8080/xmlui/handle/123456789/38610
dc.description	Supervised by Dr. Muhammad Ishaq	en_US
dc.description.abstract	The purpose of this dissertation is to analyze various algebraic properties, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings obtained from the powers of edge ideals corresponding to caterpillar trees or a forest comprising these trees. The study establishes lower and upper bounds for the Stanley depth, depth, and the projective dimension of these quotient rings. Furthermore, the precise values of the regularity for the above quotient rings are also given	en_US
dc.language.iso	en_US	en_US
dc.publisher	School of Natural Sciences NUST H-12 Islamabad.	en_US
dc.title	Algebraic Invariants of the Powers of Edge Ideals of Caterpillars and some Forests	en_US
dc.type	Thesis	en_US