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,　we　introduced　Average　and　Maximum　Strongest　Relevance　Degree　(ASRD　and　MSRD)　to　measure　the　connectedness　and　compactness　of　network　respectively.　Fourthly,　enlightened　by　betweenness　centrality,　we　introduced　SRPL-based　index　to　measure　industrial　sectors＇　Pivotability　in　transferring　intermediate　goods　Fifthly,　these　indices　were　applied　to　the　empirical　analysis　of　the　economic　system　by　physical　statistics.　Finally,　through　cascading　failure　analysis,　we　found　that　both　ASRD　and　MSRD　reflecting　the　overall　performance　of　propagating　process　of　intermediate　goods　are　vulnerable　to　those　sectors　with　high　pivotability.　(C)　2018　Elsevier　B.V.　All　rights　reserved.