Estimating Some General Molecular Descriptors of Saturated Hydrocarbons

Abstract

Three general molecular descriptors, namely the general sum-connectivity index, general Platt index and ordinary generalized geometric-arithmetic index, are studied here. Best possible bounds for the aforementioned descriptors of arbitrary saturated hydrocarbons are derived under certain constraints. These bounds are expressed in terms of number of carbon atoms and number of carboncarbon bonds of the considered hydrocarbons.

Molecular Descriptor Analysis of Certain Isomeric Natural Polymers

“…Liu et al [33] investigated and identified proteins having nucleotide-binding activity using star graph TIs. Ali et al [34,35] and Du et al [36] studied and applied some degreebased TIs such as the first Zagreb connection index, ordinary generalized geometric-arithmetic index, general Platt index, and general sum-connectivity index to establish extremal results for alkanes. Hayat et al [37] performed comparative testing of certain chemical structures (carbon nanotubes, carbon nanocones, and tetrahedral diamond) using various degree-based TIs.…”

Minimum Variable Connectivity Index of Trees of a Fixed Order

“…Details about the chemical applications of the variable Randić index can be found in [5,7,9,12,[15][16][17][18][19][20][21][22] and related references listed therein. It needs to be mentioned here that the variable Randić index seems to have more chemical applications than the several well-known variable indices, for example, the indices considered in [23][24][25][26][27][28][29][30][31][32][33]. However, to the best of the authors' knowledge, mathematical properties of the variable Randić index, for c > 0, have not yet been discussed explicitly in any paper.…”

On the Minimum Variable Connectivity Index of Unicyclic Graphs with a Given Order

“…In [18], a mathematical study of the variable Randić index was initiated and it was proved that the star graph has the minimum variable Randić index among all trees of a fixed order n, where n ≥ 4. It needs to be mentioned here that the variable Randić index seems to have more chemical applications than the several wellknown variable indices, see, for example, the variable indices considered in the papers [19][20][21][22][23][24][25]. For convenience, we introduce some further notation and terminology.…”