Determinant and Pseudo-Determinant of Adjacency Matrices of Derived Graphs

摘要

The determinant is the product of eigenvalues of adjacency matrix of a graph and pseudodeterminant is the product of nonzero eigenvalues of adjacency matrix of a graph. In this paper, we have computed determinant, pseudodeterminant, characteristic polynomial, spectrum, spread, separator and energy of derived graph of some standard graphs.