Algebraic Invariants of the Edge Ideals of Bristled Cubic Circulant Graphs

Abstract

This dissertation aims to analyze various algebraic invariants, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings of the edge ideals corresponding to q-fold bristled cubic circulant graphs. The study estab lishes value 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.