# Smoothness of Graph Energy in Chemical Graphs
## 5 Conclusions
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \# C & \(G\) & \(\mathbf{S}\mathbf{S}_{G}^{*}(E)\) & \(\mathbf{\mathrm{A}br}_{G}^{*}(E)\) & \(\overline{\mathbf{S}\mathbf{S}}^{*}(E)\) & \(\overline{\mathbf{A}br}^{*}(E)\) \\ \hline \multirow{8}{*}{17} & heptadecane & 0.37776 & 0.81578 & \multirow{8}{*}{0.25875} & \multirow{8}{*}{0.83038} \\ \cline{2-2}  & 2-methylhexadecane & 0.54462 & 1.27131 & & \\ \cline{2-2}  & 3-methylhexadecane & 0.38081 & 0.95060 & & \\ \cline{2-2}  & 4-methylhexadecane & 0.46564 & 1.15315 & & \\ \cline{2-2}  & 5-methylhexadecane & 0.39333 & 0.99899 & & \\ \cline{2-2}  & 6-methylhexadecane & 0.43471 & 1.09763 & & \\ \cline{2-2}  & 7-methylhexadecane & 0.40470 & 1.03127 & & \\ \cline{2-2}  & 8-methylhexadecane & 0.41728 & 1.06138 & & \\ \cline{2-2}  & 5 cycloheptadecane & 0.95089 & 1.27131 & & \\ \cline{2-2}  & 5-methylcyclohexadecane & 0.63079 & 0.90527 & & \\ \hline \multirow{8}{*}{18} & octadecane & 0.44099 & 0.81595 & \multirow{8}{*}{0.39023} & \multirow{8}{*}{0.79306} \\ \cline{2-2}  & 2-methylheptadecane & 0.65567 & 1.45164 & & \\ \cline{2-2}  & 3-methylheptadecane & 0.42065 & 0.94002 & & \\ \cline{2-2}  & 4-methylheptadecane & 0.57727 & 1.34405 & & \\ \cline{2-2}  & 5-methylheptadecane & 0.42136 & 0.97455 & & \\ \cline{2-2}  & 6-methylheptadecane & 0.55018 & 1.30334 & & \\ \cline{2-2}  & 7-methylheptadecane & 0.42243 & 0.98823 & & \\ \cline{2-2}  & 8-methylheptadecane & 0.54024 & 1.28771 & & \\ \cline{2-2}  & 9-methylheptadecane & 0.42280 & 0.99206 & & \\ \hline \multirow{8}{*}{19} & cyclooctadecane & 1.03767 & 1.45164 & & \\ \cline{2-2}  & \multicolumn{1}{c}{} & methylcycloheptadecane & 0.74203 & 1.11443 & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Modified structure sensitivity and modified abruptness with average values, Part III. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Set** & **Molecule** & **E(G)** & **Set** & **Molecule** & **E(G)** & **Set** & **Molecule** & **E(G)** \\ \hline \(M_{1}\) & ethane & 2.00000 & \(M_{3}\) & methylcycloundecane & 15.07008 & \(M_{4}\) & 2-methyltetradecane & 17.86281 \\ \hline \(M_{1}\) & propane & 2.82843 & \(M_{3}\) & methylcyclododecane & 16.17966 & \(M_{4}\) & 3-methyltetradecane & 18.16937 \\ \hline \(M_{1}\) & butane & 4.47214 & \(M_{3}\) & methylcyclotridecane & 17.61161 & \(M_{4}\) & 4-methyltetradecane & 17.98224 \\ \hline \(M_{1}\) & pentane & 5.46410 & \(M_{3}\) & methylcyclotetradecane & 18.83458 & \(M_{4}\) & 5-methyltetradecane & 18.11767 \\ \hline \(M_{1}\) & hexane & 6.98792 & \(M_{3}\) & methylcyclopentadecane & 20.15434 & \(M_{4}\) & 6-methyltetradecane & 18.03991 \\ \hline \(M_{1}\) & heptane & 8.05468 & \(M_{3}\) & methylcyclohexadecane & 21.30986 & \(M_{4}\) & 7-methyltetradecane & 18.07995 \\ \hline \(M_{1}\) & octane & 9.51754 & \(M_{3}\) & methylcycloheptadecane & 22.69787 & \(M_{4}\) & 2-methylpentadecane & 19.02873 \\ \hline \(M_{1}\) & nonane & 10.62750 & \(M_{3}\) & methylcyclooctadecane & 23.92413 & \(M_{4}\) & 3-methylpentadecane & 19.55275 \\ \hline \(M_{1}\) & decane & 12.05335 & \(M_{3}\) & methylcyclononadecane & 25.24196 & \(M_{4}\) & 4-methylpentadecane & 19.13426 \\ \(M_{1}\) & undecane & 13.19151 & \(M_{4}\) & 2-methylpropane & 3.46410 & \(M_{4}\) & 5-methylpentadecane & 19.51960 \\ \hline \(M_{1}\) & dodecane & 14.59246 & \(M_{4}\) & 2-methylbutane & 5.22625 & \(M_{4}\) & 6-methylpentadecane & 19.17167 \\ \hline \(M_{1}\) & tridecane & 15.75049 & \(M_{4}\) & 2-methylpentane & 6.15537 & \(M_{4}\) & 7-methylpentadecane & 19.50812 \\ \hline \(M_{1}\) & tetradecane & 17.13354 & \(M_{4}\) & 3-methylpentane & 6.89898 & \(M_{4}\) & 8-methylpentadecane & 19.18177 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The graph energy of considered molecular graphs.