以下为句子列表：
英文: Abstract: In this article an optimization method is applied to de sign open-type distribution networks.Graph theory technology is used.Its mathem at ical model considers both the investment of constructing lines and the cost of o peration.The main idea is
中文: 文摘:将图论优化技术应用于配电网络的优化设计，提出了一种适合于开式配电网络规划的优化方法.所建的数学模型综合考虑了待建线路的投资和运行费用.求解方法是以图论中的最短路径问题为基础，配合以开式网络潮流算法，并通过可行路径的合理变换，得出满足技术约束条件且使年计算费用取极小值的树状网络结构.
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英文: This paper discusses the application of Graph Theory in simplifying the loopcurrent equations, using some samples accounts for the application.
中文: 摘要结合在电路分析课程教学中的体会，讨论图论在简化复杂电路的回路电流方程上的应用。并结合一些实例，说明该方法解题的思路和步骤。
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英文: Three steps of the method are, first, genetic algorithm is adopted in the whole planning area to hunt the possible traverse sequence of the substations; second, the least weight match algorithm in graph theory is adopted to optimize the tie lines between
中文: 第一层优化是在整个规划区域内，应用遗传算法搜索可能的变电站的遍历顺序；第二层优化是按照第一层优化确定的遍历顺序，应用纲络图论中的最小权匹配算法分别对每一个变电站与其相邻站之间的联络线进行优化。
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英文: Laplace theorem by graph theory is presented by Valiant's definition about determinant.
中文: 根据Valiant图论方法给出的矩阵行列式定义 . 证明了图论意义下的Laplace定理
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英文: APPLICATION OF THE FUZZY GRAPH THEORY IN THE VEGETATIONAL REGIONALISM OF SHANXI PROVINCE
中文: 模糊图论在山西植被区划中的应用
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