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.

中文翻译：

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跨国投入产出网络视角下衡量经济体在全球价值链中的可枢性

在中美贸易争端和2019新型冠状病毒疫情的双重背景下，现有的全球价值链（GVC）划分和贸易体系正面临前所未有的冲击。本文通过分析由众多国家间投入产出（ICIO）关系构成的全球价值链碎片，强化了目前对国际贸易的研究。我们首先重新定义了中间产品的国家间和部门间传播过程，提出了基于修订的弗洛伊德-沃歇尔算法（RFWA）的最强相关路径长度（SRPL）的概念。其次，在介数中心性的启发下，我们引入基于RFWA的加权介数中心性来衡量投入产出关系的增值枢轴性，在国内、国际、和全球层面。结果表明，一个特定国家可以通过连接全球上游和下游工业部门（无论是在国内还是国外）对世界经济格局产生多大影响。此外，我们还可以尝试解释国家的经济影响在发生各种地方甚至全球事件的情况下发生权衡和轮流的现象的原因是什么。