Abstract
Let R be a commutative ring with nonzero identity and let ZR be its set of zero divisors. The zero-divisor graph of R is the graph ΓR with vertex set VΓR=ZR∗, where ZR∗=ZR\0, and edge set EΓR=x,y: x⋅y=0. One of the basic results for these graphs is that ΓR is connected with diameter less than or equal to 3. In this paper, we obtain a few distance-based topological polynomials and indices of zero-divisor graph when the commutative ring is ℤp2q2, namely, the Wiener index, the Hosoya polynomial, and the Shultz and the modified Shultz indices and polynomials.