Texas is planning to build a high-speed commuter rail system to connect major cities in the state. The table below gives the cost (in millions of dollars) to connect each city. Use Kruskal's algorithm to create a minimal spanning tree for the state showing which connections should be made to minimize the cost of the project yet still connect every city. Show all of your work. You do not need to make a graph of the t entire set of connections, only a graph of your minimal spanning tree. Leri

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7) Texas is planning to build a high-speed commuter rail system to connect major cities
in the state. The table below gives the cost (in millions of dollars) to connect each
city. Use Kruskal's algorithm to create a minimal spanning tree for the state showing
which connections should be made to minimize the cost of the project yet still
connect every city. Show all of your work. You do not need to make a graph of the
entire set of connections, only a graph of your minimal spanning tree.
Austin
Corpus
Dallas
Fort
Worth
Houston
San
Antonio
Midland
Austin Corpus Dallas
12
9
1
Fort
Worth
14
4
5
Houston
4
7
4
8
San
Antonio
6
6
2
6
6
Midland
22
12
5
20
7
15
Transcribed Image Text:7) Texas is planning to build a high-speed commuter rail system to connect major cities in the state. The table below gives the cost (in millions of dollars) to connect each city. Use Kruskal's algorithm to create a minimal spanning tree for the state showing which connections should be made to minimize the cost of the project yet still connect every city. Show all of your work. You do not need to make a graph of the entire set of connections, only a graph of your minimal spanning tree. Austin Corpus Dallas Fort Worth Houston San Antonio Midland Austin Corpus Dallas 12 9 1 Fort Worth 14 4 5 Houston 4 7 4 8 San Antonio 6 6 2 6 6 Midland 22 12 5 20 7 15
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