the distance seidel spectrum of some graph operations

The distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. the eigenvalues ∂s1 ≥ ∂s2 > ... ∂sn of the distance seidel matrix ds (g) of a graph g forms the distance seidel spectrum of g. we describe here the distance seidel spectrum of some types of subdivision related graphs of a regular graph in terms of its adjacency spectrum. we also derive analytic expressions for the distance seidel energy of s (cp), the partial complement of thesubdivision graph of a cycle cp and the distance seidel energy of s (cp), the complement of the even cycle c2p.