Abstract:
Chemical compounds have variety of physicochemical, toxicological and pharmaco logical properties which predict their nature and how they will react. But the study
of these properties requires Herculean and laborious experimentation so its alternative,
topological indices were invented about 150 years ago which is the greatest break through in the field of mathematical chemistry. It provides the substitute to scrutinize
the behavior of chemical graphs and an easy approach for substantiating their existing
numerous properties and thus helps in designing novel drugs and compounds. This
was achieved due to the birth of chemical graph theory in which modeling of chemical
compounds can be done.
In this research, miscellaneous mathematical and computational techniques are applied
for the calculation of several degree-based and spectrum-based topological invariants
for boric acid (H3BO3) layer structure’s derivatives (subdivision, line graph and caged
chain). The molecular descriptors being computed are the harmonic index; two ver sions of Randi ´c, sum-connectivity, atom-bond connectivity, geometric-arithmetic and
Zagreb indices. Besides these, the list also includes Estrada index, energy and the
distance energy of above-named graphs. Pre-invented formulae are used for their cal culation and for spectrum-based invariants, polynomials are generated and vindicated
based on results.
