Table 1 Topological descriptors derivation formula from \(\mathcal {RR_D\,M}\)-polynomial.

From: On degree-based operators and topological descriptors of molecular graphs and their applications to QSPR analysis of carbon derivatives

Topological index

Derived formula

\(\mathcal {RR_D}M_1\)

\((\mathcal {D}_l+\mathcal {D}_m)(\mathcal {RR_D\,M}(\mathcal {G}))\big |_{l=m=1}\)

\(\mathcal {RR_D} M_2\)

\((\mathcal {D}_l\mathcal {D}_m)(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}F\)

\((\mathcal {D}^2_l+\mathcal {D}^2_m)(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}HM_1\)

\((\mathcal {D}_l+\mathcal {D}_m)^2(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}HM_2\)

\((\mathcal {D}_l\mathcal {D}_m)^2(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}\sigma\)

\((\mathcal {D}_l-\mathcal {D}_m)^2(\mathcal {RR_D\,M}(\mathcal {G}))\big |_{l=m=1}\)

\(\mathcal {RR_D}^mM_2\)

\((\mathcal {I}_l\mathcal {I}_m)(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D} ReZG_3\)

\((\mathcal {D}_l\mathcal {D}_m)(\mathcal {D}_l+\mathcal {D}_m)(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}SDD\)

\((\mathcal {D}_l\mathcal {I}_m+\mathcal {I}_l\mathcal {D}_m)(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}H\)

\(2J\mathcal {I}_l(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}I\)

\(\mathcal {I}_lJ\mathcal {D}_l\mathcal {D}_m(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)

\(\mathcal {RR_D}A\)

\(I^3_lQ_{-2}J\mathcal {D}^3_l\mathcal {D}^3_m(\mathcal {RR_D\,M}(\mathcal {G})\big |_{l=m=1}\)