This　paper　focuses　on　measuring　the　globally　and　nationally　economic　system＇s　connectedness　and　industrial　sector＇s　function　on　the　Global　Value　Chain　(GVC),　as　reinforcements　to　the　present　studies　on　international　trade.　Firstly,　we　reconsidered　the　length-related　and　position-related　measures　in　literatures　about　vertical　specialization　from　the　perspective　of　econophysics.　Secondly,　we　redefined　the　inter-country　and　inter-sector　propagating　process　of　intermediate　goods　and　proposed　the　concept　of　Strongest　Relevance　Path　Length　(SRPL)　based　on　Revised　Floyd-Warshall　Algorithm　(RFWA),　which　is　the　basis　of　new　measurement.　Thirdly,　enlightened　by　betweenness　centrality　of　node　and　edge,　we　introduced　SRPL-based　index　to　measure　the　Value-Added　Pivotability　of　Industrial　Sectors　and　Input-Output　Relationships.　Fourthly,　we　also　proposed　the　concepts　of　Backward　Closeness　and　Forward　Closeness　of　Industrial　Sectors　based　on　closeness　centrality.　©　Published　under　licence　by　IOP　Publishing　Ltd.