Under　the　dual　background　of　trade　disputes　between　China　and　the　United　States　and　the　epidemic　of　2019　novel　coronavirus,　the　existing　Global　Value　Chain　(GVC)　division　and　trading　system　are　facing　unprecedented　impact.　This　paper　reinforces　the　present　studies　on　international　trade　by　analyzing　the　fragments　of　GVC,　which　are　made　of　numerous　Inter-Country　Input-Output　(ICIO)　relations.　We　first　redefine　the　inter-country　and　inter-sector　propagating　process　of　intermediate　goods,　coming　up　with　the　concept　of　Strongest　Relevance　Path　Length　(SRPL)　based　on　Revised　Floyd-Warshall　Algorithm　(RFWA).　Second,　enlightened　by　betweenness　centrality,　we　introduce　Weighted　Betweenness　Centrality　of　Edge　based　on　RFWA　to　measure　the　Value-Added　Pivotability　of　Input-Output　Relations,　which　brings　forth　pivotability　at　domestic,　international,　and　global　levels.　The　results　show　how　much　a　given　country　can　influence　the　world　economic　pattern　by　linking　worldwide　upstream　and　downstream　industrial　sectors,　be　it　at　home　or　abroad.　Also,　we　can　try　to　explain　what　is　the　cause　of　the　phenomenon　that　the　economic　influence　of　nations　is　trading　off　and　taking　turns　with　all　sorts　of　local　or　even　global　evens　happening.