| 有向图的加权解析挠率（英文） |
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| 引用本文： | 任世全,王冲.有向图的加权解析挠率（英文）[J].数学季刊,2023(1):30-49. |
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| 作者姓名： | 任世全 王冲 |
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| 作者单位： | 1. School of Mathematics and Statistics, Henan University;2. School of Mathematics and Statistics, Cangzhou Normal University |
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| 基金项目： | REN Shi-quan is supported by China Postdoctoral Science Foundation (Grant No.2022M721023)；;WANG Chong is supported by Science and Technology Project of Hebei Education Department(Grant No. ZD2022168)； |
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| 摘 要： | In 2020, Alexander Grigor’yan, Yong Lin and Shing-Tung Yau 6] introduced the Reidemeister torsion and the analytic torsion for digraphs by means of the path complex and the path homology theory. Based on the analytic torsion for digraphs introduced in 6], we consider the notion of weighted analytic torsion for vertex-weighted digraphs. For any non-vanishing real functions f and g on the vertex set, we consider the vertex-weighted digraphs with the weights(f,g). We calculate the(f,g)-weighted a...
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