In　recent　years,　World　Trade　Web　(WTW),　also　known　as　international　trade　network　(ITN)　was　expressed　by　different　models,　including　binary　undirected　network　(BUN),　weighted　undirected　network　(WUN),　binary　directed　network　(BDN)　and　weighted　directed　network　(WDN),　etc.　Making　use　of　the　models,　scholars　have　analyzed　topological　properties　(e.g.,　node＇s　degree　and　strength),　clustering　(e.g.,　clustering　coefficient)　and　dynamics,　etc.　In　this　paper,　we　express　the　strength　of　trade　relations　of　China　and　the　United　States　(or　other　bilateral　or　multilateral　trade)　by　number　or　weight　of　subgraphs　or　subdigraphs　in　WTW　instead　of　node＇s　degree　and　strength,　we　also　propose　patterns　of　subgraphs　or　subdigraphs　including　only　3　nodes　C　(China),　A　(the　United　States)　and　i　(a　3rd　country　or　district)　in　BUN,　WUN,　BDN　and　WDN.　These　indexes　not　only　overcome　the　limitation　of　node＇s　degree　or　strength　in　WTW,　but　also　express　bilateral　or　multilateral　trade　status.　In　WDN,　we　particularly　propose　16　patterns　of　subdigraphs　in　place　of　the　traditional　patterns　(e.g.,　export,　import,　import　and　export)　of　trade　status　of　a　country　or　district,　which　gives　a　better　description　of　trade　status　of　China　and　the　United　States.　©　2013　World　Scientific　Publishing　Company.