On cozero divisor graphs of ring Zn

The cozero divisor graph Gamma'(R) of a commutative ring R is a simple graph with vertex set as non-zero zero divisor elements of R such that two distinct vertices x and y are adjacent iff x is an element of/ Ry and y is an element of/ Rx, where xR is the ideal generated by x. In this article we find the spectra of Gamma'(Zn) for n is an element of {q1q2, q1q2q3, qn1 primes. As a consequence we obtain the bounds for the largest (smallest) eigenvalues, bounds for spread, rank and inertia of Gamma'(Zqn1 1 q2) along with the determinant, inverse and square of trace of its quotient matrix. We present the extremal bounds for the energy of Gamma'(Zn) for n = qn1 1 q2 and characterize the extremal graphs attaining them. We close article with conclusion for furtherance.