Depth and Stanley Depth of Edge Ideals Associated with Corona Product of Certain Trees

Abstract

Depth and Stanley depth are the algebraic and geometric invariants, respectively, which have been computed for various classes of edge ideals on graphs. Earlier, for the edge ideal associated with trees and the computed bounds were dependent upon diameter, power and number of connected components. The present thesis is primarily concerned with the exact value and bound of depth and Stanley depth of edge ideals associated with corona product of some trees.