On topological polynomials and indices for metal-organic and cuboctahedral bimetallic networks

Abstract A molecular graph consists of bonds and atoms, where atoms are present as vertices edges. We can look at topological invariants polynomials that furnish bioactivity physio-chemical features for such graphs. These invariants, which usually known numerical quantities relate to the topology a graph. Let m pq ( X ) be number edges in ζ , b = p q ), (or degree ). The M -polynomial determined with help relation M ( X ; x , y stretchy="false">) = ∑ p ≤ q m M(X;x,y)={\sum }_{p\le q}{m}_{pq}(X){x}^{p}{y}^{q} . In this study, we calculate -polynomial, forgotten polynomial, sigma polynomial Sombor different critical importance, referred first, second, modified augmented Zagreb, inverse general Randić, harmonic, symmetric division; chemical structures namely metal-organic networks (transition metal-tetra cyano benzene organic network) cuboctahedral bimetallic (MOPs) retrieved using generic approach. also draw two-dimensional graphical representation outcomes express relationship between indices structural parameters.