Heatmap Figure \ref{667861} shows a correlation of hubs score of ten countries for the last twenty score years. Hubs represent a country from where most of the other countries import goods. Data shows hubs score China, a major hub in the WTN is positively correlated with only with Mexico and South Korea, is negatively correlated with other seven countries. EU countries Germany, France, and GB has a very high positive correlation among themselves and also with Japan.
Authority
According to HITS algorithms of Kleinberg, valuable and important pages are pointed by many pages and they are called authority page\cite{Ding2004}. Similarly, in the context of world trade, an authority country is one which has large imports from major hubs countries. Figure \ref{590420} shows Authority score. High authority score for a country suggests, the high value of export from countries with the high hubs score. The USA has highest Authority score throughout the study period with pronounced upward and downward trends as well. Which makes the USA a major importer or authority in the WTN. Highest authority score of USA is also related to the fact that the USA is a major exporting destination for countries with higher hubs score. The figure shows China, Japan, Canada, and Mexico has higher hubs score and USA import most of the goods from these countries. Moreover, high authority score of Hong Kong is also explained by the fact that Hong Kong is one of the major exporting destination of China, a country with high hubs score