Advanced Mathematical Characterization of a Four Triangular Ladder Graph with Multiplicative Degree Kirchhoff Index

Let [Formula: see text] denotes the triangular ladder graph. The multiplicative degree Kirchhoff index of a graph [Formula: see text] with [Formula: see text] number of edges is [Formula: see text]. The term [Formula: see text] are the normalized Laplacian (NL) spectrum. In this study we have calculated the [Formula: see text] through the [Formula: see text] spectrums for [Formula: see text] network. To compute our main results, we have used the techniques of decomposition theorem (DT).