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Finding Your Way: Shortest Paths on Networks
arXiv - CS - Social and Information Networks Pub Date : 2020-11-19 , DOI: arxiv-2011.09632
Teresa Rexin and Mason A. Porter

Traveling to different destinations is a big part of our lives. How do we know the best way to navigate from one place to another? Perhaps we could test all of the different ways of traveling between two places, but another method is using mathematics and computation to find a shortest path. We discuss how to find a shortest path and introduce Dijkstra's algorithm to minimize the total cost of a path, where the cost may be the travel distance or travel time. We also discuss how shortest paths can be used in the real world to save time and increase traveling efficiency.

中文翻译:

找到你的路:网络上的最短路径

去不同的目的地旅行是我们生活的重要组成部分。我们如何知道从一个地方导航到另一个地方的最佳方式?也许我们可以测试在两个地方之间旅行的所有不同方式,但另一种方法是使用数学和计算来找到最短路径。我们讨论如何找到最短路径并引入 Dijkstra 算法来最小化路径的总成本,其中成本可能是旅行距离或旅行时间。我们还讨论了如何在现实世界中使用最短路径来节省时间并提高旅行效率。
更新日期:2020-11-20
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