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IB MAI HL Geometry & Trigonometry Topic 3.7 Graph Theory (id: 861696e54)

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admin 发表于 2024-2-20 21:17:38 | 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]
The weights of the edges of a hyswk7ip /l+3(x j9 ow+s vii4grdc-ls:xi o :f1aph $\boldsymbol{H}$ are given in the following table.


1. (1) Draw the weighted graph $\boldsymbol{H}$ on the vertices below.







(2) Using Kruskal's algorithm, find a minimum spanning tree for $\boldsymbol{H}$ . Clearly indicate the order in which the edges are added to the tree.
(3) Write down the weight of the minimum spanning tree.

Consider the following weighted graph $\boldsymbol{J}$ .



2. (1) Find a solution to the Chinese postman problem for the graph $\boldsymbol{J}$ .
(2) Write down the total weight of the solution.
3. (1) State the travelling salesman problem.
(2) Explain why there is no solution to the travelling salesman problem for the graph $\boldsymbol{J}$ .




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