## 5 Results and Discussion
### Centrality Measurement in the ThaiNet Dataset
#### 5.3.2 Centrality Measurement in District Network  
For the district network, we analyze centrality measures across 928 Thai districts in the ThaiNet dataset. Similar to the centrality measurement in the province network, each node represents a district. DC, CC, BC, EC, and HCGC are used to calculate the scores for each node.  
Table 16 describes the top 10 districts with scores of different measures. The results from HCGC show that Pathum Wan district in Bangkok province achieves the highest performance, followed by Thon Buri, Dusit, Sa Thon, and Bang Rak districts. All of these districts are located in Bangkok province. HCGC presents scores with high variance, which makes it easier to differentiate influential nodes from each other compared to DC.  
Figure 8 presents nodes in the district network with their district labels and communities categorized by the Louvain algorithm. There are 32 communities in the network. The nodes have different sizes according to their HCGC scores. Higher scores correspond to larger node sizes.  
Figure 9 illustrates the nodes in the first community. Due to the large number of communities, we select Community 1 as a representative example. The color bar on the right side shows the HCGC values. High-scoring nodes such as node 6 (Pathum Wan), node 14 (Thon Buri), and node 1 (Dusit) are labeled in yellow.  
Figure 7: The nodes of top 20% in province network with their province labels and communities.  
Figure 8: The nodes in the district network with their district labels and communities.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Rank**} & \multicolumn{2}{c}{**DC**} & \multicolumn{2}{c}{**CC**} & \multicolumn{2}{c}{**BC**} & \multicolumn{2}{c}{**EC**} & \multicolumn{2}{c}{**HCGC**} & \multirow{2}{*}{**Score**} \\  & **Node** & **Score** & **Node** & **Score** & **Node** & **Score** & **Node** & **Score** & **Node** & **District** & **Province** & **Score** \\ \hline
1 & 14 & 0.0216 & 127 & 0.0861 & **776** & 0.2728 & 6 & 0.2537 & 6 & Pathum Wan & Bangkok & 1.110 \(\times\) 10\({}^{8}\) \\
2 & 1 & 0.0205 & 340 & 0.0854 & 777 & 0.2695 & 14 & 0.2503 & 14 & Thon Buri & Bangkok & 1.093 \(\times\) 10\({}^{8}\) \\
3 & 6 & 0.0194 & 101 & 0.0852 & 771 & 0.2681 & 1 & 0.2401 & 1 & Dusit & Bangkok & 1.076 \(\times\) 10\({}^{8}\) \\
4 & 0 & 0.0183 & 183 & 0.0851 & 770 & 0.2667 & 0 & 0.2337 & 27 & Sa Thon & Bangkok & 9.467 \(\times\) 10\({}^{7}\) \\
5 & 27 & 0.0183 & 705 & 0.0849 & 772 & 0.2653 & 12 & 0.2328 & 3 & Bang Rak & Bangkok & 9.421 \(\times\) 10\({}^{7}\) \\
6 & 32 & 0.0173 & 118 & 0.0847 & 773 & 0.2638 & 27 & 0.2317 & 0 & Phra Nakhon & Bangkok & 9.341 \(\times\) 10\({}^{7}\) \\
7 & 53 & 0.0173 & 203 & 0.0847 & 774 & 0.2624 & 3 & 0.2299 & 12 & Samphanthawong & Bangkok & 8.930 \(\times\) 10\({}^{7}\) \\
8 & 12 & 0.0173 & 709 & 0.0844 & 844 & 0.2567 & 17 & 0.2276 & 17 & Khlong San & Bangkok & 8.745 \(\times\) 10\({}^{7}\) \\
9 & 24 & 0.0173 & 215 & 0.0841 & 841 & 0.2531 & 7 & 0.2115 & 24 & Bang Pilat & Bangkok & 7.736 \(\times\) 10\({}^{7}\) \\
10 & 38 & 0.0173 & 216 & 0.0840 & 769 & 0.2479 & 30 & 0.1989 & 30 & Bang Kho Laem & Bangkok & 7.590 \(\times\) 10\({}^{7}\) \\ \hline \hline \end{tabular}
\end{table}
Table 16: Top 10 districts in the district network ranked by different measures.