Depth and Stanley Depth of Cyclic Modules Associated to q-Fold Bristled Graphs of Multi Triangular Snake and Ouroboros Snake Graphs

Abstract

This dissertation deals with the algebraic and geometric invariants such as depth and Stanley depth, respectively. In this thesis, we compute exact values of depth and Stanley depth of cyclic modules associated to q-fold bristled graphs of triangular and multi triangular snake and ourorboros snake graphs. It is shown that the values of both invariants are same for the classes of graphs we considered.