Stanley Depth and Depth of the Quotient Rings of Edge Ideals Corresponding to Some ϱ-Fold Bristled Graphs

dc.contributor.author	Sidra, Sharif
dc.date.accessioned	2022-09-29T07:20:06Z
dc.date.available	2022-09-29T07:20:06Z
dc.date.issued	2022-08-26
dc.identifier.uri	http://10.250.8.41:8080/xmlui/handle/123456789/30703
dc.description.abstract	In this thesis, we discuss some fundamental concept of Abstract Algebra like rings and modules. Furthermore, we discuss the Algebraic invariants Stanley depth and depth. We also discuss some known results related to these invariants. Afterwards, we compute the exact value of Stanley depth and depth of the quotient rings of the edge ideals associated with ϱ-fold bristled graph of ladder graph, circular ladder graph, and strong product of two graphs when both graphs are paths or when one of them is a cycle and other is a path. We also proved that both these invariants have the same values for all the classes, we considered. 3	en_US
dc.description.sponsorship	Supervised by Dr. Muhammad Ishaq	en_US
dc.language.iso	en_US	en_US
dc.publisher	School Of Natural Sciences National University of Sciences & Technology (NUST) Islamabad, Pakistan	en_US
dc.subject	Stanley Depth Depth Quotient Rings Edge Ideals Corresponding ϱ-Fold Bristled Graphs	en_US
dc.title	Stanley Depth and Depth of the Quotient Rings of Edge Ideals Corresponding to Some ϱ-Fold Bristled Graphs	en_US
dc.type	Thesis	en_US