IB MAI HL Geometry & Trigonometry Topic 3.7 Graph Theory (id: eb982d2b7)

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]
A biotechnology company is inve2 6hbpy60 r bk z-zee-ci9l7wistigatil iuhnp017/ qhe1enp 4ng the costs of building a fibre optic network to connect the 8 research labs it owns. The weighted graph below shows the labq nehhi/ e47pn1l1p0us (A-H) and the cost, in thousands of dollars, for building each connection.
Due to the fast information flow provided by fibre optic networks, the company decides that each lab does not need to be directly connected to each other, however each lab needs to have a connection to the overall network.

1.(1)Using Kruskal's algorithm, find a minimum spanning tree for the graph. Clearly indicate the order in which the edges are added to the tree.
(2)Hence draw the minimum spanning tree for the graph.
2.Find the minimum cost of building the fibre optic network.

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