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IB MAI HL Geometry & Trigonometry Topic 3.7 Graph Theory (id: e98e59e93)

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admin 发表于 2024-2-20 20:52:19 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.7 Graph Theory,类别为 IB数学

[问答题]
George, an experienc; d6df6rfdbvu99e:oabu6na 7ed n;8t:ah a/u2mnkq 3 mrcivil engineer, is designing a high-speed railway network to connect seven cities (A-G), as illustrated in the graph below. The possible railways and costst q ua:3hma2rn; m8/kn of building them are represented by the graph edges, where costs are in billions of dollars.



George needs to design the lowest cost high-speed railway network that will connect the seven cities. Each city does not need to directly connect with all other cities, however each city must have a connection to the rail network.
1.Name an algorithm which will allow George to find the lowest cost high-speed railway network.
2.(1)Find and list the railway connections of the lowest cost high-speed railway network.
(2)Hence, write down the cost of building this network.




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