Some Algebraic Invariants of Edge Ideals of Corona Product of Multi Triangular Snake and Ouroboros Snake Graphs

Abstract

In this thesis, we discuss some fundamental concept of Abstract Algebra like rings and modules. The main concern of this dissertation is with the algebraic and geometric invariants such as depth, Stanley depth and regularity. We also discuss some known results related to these invariants. Furthermore, we compute exact values and bounds for depth, Stanley depth and regularity of cyclic modules associated with corona product of multi triangular snake and ouroboros snake graphs with any graph Q.