Minimal Doubly Resolving Sets of Certain Families of Toeplitz Graph

The doubly resolving sets are a natural tool to identify where diffusion occurs in complicated network. Many real-world phenomena, such as rumour spreading on social networks, the spread of infectious diseases, and virus internet, may be modelled using information networks. It is obviously impractical monitor every node due cost overhead limits because there too many nodes network, some which unable or unwilling send about their state. As result, source localization problem find number network that best explains observed diffusion. This can successfully solved by its relationship with well-studied related minimal set problem, minimizes observers required for accurate detection. paper aims investigate certain families Toeplitz graph Tn(1, t), t ≥ 2 n + 2. We come conclusion 2), metric double dimensions equal 4), dimension exactly one more than dimension. Also, 3) = 5, 6, 7 greater 8.