In this Discussion, you will continue considering the real-world situations presented by you and your classmates in Unit 7 Discussion.

Initial Post: Remind your classmates of your real-world situation presented in the Unit 7 Discussion including the graph that you drew to model this situation.

1) Describe in the context of your situation and how you can modify your graph into a spanning tree.

2) Draw a spanning tree from your initial graph.

3) Add appropriate weights to each of your edges for the context of your situation.

First Response to a Classmate: Review a classmate’s real-world situation, graph, and spanning tree.

1) Draw another spanning tree for their initial graph that has not been drawn by any classmate. (Remember that one can always find a spanning tree from a connected graph and there are often many different spanning trees that can be found from a single connected graph. Answers will vary.)

2) What is the total cost of this spanning tree?

Second Response to a Classmate: In your own words, describe what the Kruskals’ Algorithm is and its steps. In the context of your classmate’s situation, what would the Kruskal’s algorithm do? Can you apply the Kruskals’ algorithm to your classmate’s graph? What is the result?

Discussion Requirements

Throughout this course, you will respond to other people’s opinions and comments by participating in the Discussion Boards. It is helpful to complete your Reading prior to answering the Discussion topics.

The complete Discussion topics can be found by clicking on the Discussion content item in the menu to the left under this unit. Be sure to answer one of the provided questions, comment on at least two of your classmates' posts, and engage one another in discussion.

Discussion Board grading rubrics include points for posts which “…contribute to the quality of the discussion.” In order to earn full credit, students are strongly encouraged to post by Saturday night so that posts will engage other students and provide a quality contribution. Be sure your post is grammatically correct, has been spell checked, and you have fully answered the question. A response to a classmates’ post must be substantive; posts such as “Great job” or “I agree” will not be counted as a response. See the rubric for further details. Provide citations for any websites referred to in your posts and summarize in your own words any information shared in your post.

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