Fig. 1From: World impact of kernel European Union 9 countries from Google matrix analysis of the world trade networkPageRank-CheiRank plane of countries in 2018. Circles with country flags show positions of countries on the plane of PageRank-CheiRank indexes \((K,K^*)\) (summation is done over all products) (left panel) and on the plane of ImportRank-ExportRank \(\hat{K}\), \(\hat{K}^*\) from trade volume (right panel); data are shown only for index values less than 61 for year 2018; data for years 2012, 2014, 2016 are shown in Additional file 1: Fig. A1; KEU9 is marked by EU flagBack to article page