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