Algebraic Properties of Edge Ideals of Corona Product of Certain Graphs

Abstract

We study the algebraic invariants namely depth, Stanley depth, regularity and projective dimension of the residue class rings of the edge ideals associated with the corona product of various classes of graphs with any graph. We also give an expression for the Krull dimension of the residue class rings of the edge ideals associated with the corona product of any two graphs. As a consequence, we characterize some Cohen-Macaulay graphs.