Table 1 Multiple correlation coefficients \(\rho\)(\(H_c,Ent\)) of distance-spectral invariants with the \(H_c\) and Ent for the 30 lower PHs.

From: Predictive potential of distance-related spectral graphical descriptors for structure-property modeling of thermodynamic properties of polycyclic hydrocarbons with applications

Graphical index, \(G_I\)

\(\rho (H_c,Ent;G_I)\)

\(\rho _D\), Eq. (1)

0.9795

\(En_D\), Eq. (2)

0.9795

\(Es_D\), Eq. (3)

0.7109

\(\rho _{DL}\), Eq. (4)

0.9544

\(En_{DL}\), Eq. (5)

0.9467

\(\rho _DQ\), Eq. (7)

0.9778

\(En_DQ\), Eq. (8)

0.9389

\(Es_DQ\) Eq. (9)

0.6106

\(\rho _S\), Eq. (23)

0.9797

\(En_S\), Eq. (24)

0.9809

\(Es_S\), Eq. (25)

0.7106

\(\rho _{H}\), Eq. (10)

0.9647

\(En_H\), Eq. (11)

0.9963

\(Es_{H}\), Eq. (12)

0.8340

\(\rho _{DD}\), Eq. (19)

0.9521

\(En_{DD}\), Eq. (20)

0.9929

\(Es_{DD}\), Eq. (21)

0.7081

\(\rho _\mathscr {G}\mathscr {U}\mathscr {T}\), Eq. (32)

0.9395

\(En_\mathscr {G}\mathscr {U}\mathscr {T}\), Eq. (33)

0.9876

\(Es_\mathscr {G}\mathscr {U}\mathscr {T}\), Eq. (34)

0.7080

\(\rho _\mathscr{S}\mathscr{Z}\), Eq. (13)

0.9143

\(En_\mathscr{S}\mathscr{Z}\), Eq. (14)

0.9297

\(\rho _{\Pi }\), Eq. (16)

0.9557

\(En_{\Pi }\), Eq. (17)

0.9692

\(Es_{\Pi }\), Eq. (18)

0.7080

\(\rho _{ABC^2}\), Eq. (26)

0.6462

\(En_{ABC^2}\), Eq. (27)

0.9703

\(Es_{ABC^2}\), Eq. (28)

0.9941

\(\rho _{GA^2}\), Eq. (29)

0.7447

\(En_{GA^2}\), Eq. (30)

0.9924

\(Es_{GA^2}\), Eq. (31)

0.9916