Muhammad ShahidCIIT/SP20-RMT-006/LHRDr. Kashif AliLHR TP 76242026-05-052021https://repository.cuilahore.edu.pk/123456789/3862The physicochemical properties of molecules are correlated with their chemical struc- ture using degree-based topological indices. The graph entropy zone has captured the imagination of scientists because of its possible application in chemistry. Boron nan- otubular structures are high-interest materials with new electronic characteristics due to the presence of multi center bonds. Mechanical and thermal stability are two chal- lenges that these materials have in nanodevice applications. Therefor they necessitate theoretical research into the other qualities. In this thesis, study the graph entropy mea- sure by using topological invariants of different versions of atom-bond connectivity in- dex Zagreb indices M1(G), M2(G) (including redefined forms ReZG1(G), ReZG2(G) and ReZG3(G) and the forgotten topological index F(G)) which gives a better predic- tion of the chemical properties of different chemical compounds. We computed these indices for boron nanotube because of its significance in nanotechnology. To ensure the correctness of the output, a computational analysis and graphical comparison of generated indices is provided.enDepartment of MathematicsSP20Mathematicsoron NanotubesEntropy MeasureDegree-Based IndicesDr. Kashif AliThesis