Abstract:
A topological index or a connectivity index is a mathematical measure,
which is a numerical value that correspond to the chemical structure of a
nite graph. Topological indices are isomorphism invariant and is also useful
in elds like chemical graph theory, molecular topology and mathematical
chemistry. They are an important tool in the study of QSAR (quantitative
structure-activity relationships) and QSPR (quantitative structure-property
relationships) where chemical structures are associated with other properties
of molecules. Recently, due to increasing scope in chemistry, they have become
more important.
The concept of Sombor index which is a topological index based on degrees,
was given by Ivan Gutman in the eld of chemical graph theory. The upper
bounds as well as the lower bounds of Sombor index of graphs have been
already calculated. In this research work, we computed the upper and lower
bounds of some graph operations w.r.t. Sombor index.
