Zeeshan AnwarFA19-RMT-078LHR TP 7413Dr. Imran Zulfiqar Cheema2026-03-122021https://repository.cuilahore.edu.pk/handle/123456789/2759Topological index is a numerical quantity which characterizes the whole structure of a graph. These indices are invariants under the graph isomorphism which characterizes its topology and are usually hold mathematical properties of graph invariant. Related to chemistry, actually it is a numerical quantity linked with chemical structure express for the relationship of chemical network with various physical-chemical characteristics like temperature, boiling points and path number etc. Actually these topological indices are formulated by transforming a chemical structure into a numeric number. In the area of research graph theory has been found to be very beneficial. In this thesis, we will calculate the degree based topological indices so-called Randic index, atom bond connectivity (ABC) index, geometric arithmetic(GA) index, first and second Zagreb, second modified Zagreb, third Zagreb, hyper Zagreb, Harmonic index, F-index, Shigehalli and Kanubar index for line graph of multi-wheel graph 𝑊𝑚 = (𝐶𝑛 × 𝑃𝑚) where 𝑚 ≥ 2 as well as line graph of multi-prism graph 𝑌𝑚,𝑛 = (𝐶𝑚 × 𝑃𝑛) where 𝑛 ≥ 4. We will also calculate degree sum based topological indices ABC₄ index known as the forth version of atom bond connectivity (ABC) index and GA₅ index which is the fifth class of geometric arithmetic (GA) index for these graphs. This study will give us a very interesting and different results by using new topological index that is first Zagreb and second Zagreb, second modified Zagreb, third Zagreb, hyper and augmented Zagreb topological indices.enDr. Imran Zulfiqar Cheemafa19Department of MathematicsMathematicsTopological indexThesis