Mm250 Unit 7

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Unit 7: Trees - Assignment
Part I. Basic Computations
1. Using the following tree, name two vertices that are considered the following. Explain in your own words how you know: (a) parent-child (2 points).
Answer: 202 - 401
Explanation: the parent of a vertex is the vertex connected to it on the path to the root, 202 is the parent and 401 is the child

(b) sibling nodes (2 points):
Answer: 301, 302, 303
Explanation: If two vertices are children of the same parent, then these two vertices are called siblings, 301, 302, 303 have the same parent that is 201

(c) leaf nodes (2 points)
Answer: 301, 302, 303, 401
Explanation: the leaves are all terminal vertices

2. Determine if each of the following graphs is considered a tree. Explain why or why not, using what you learned in this unit. a. (2 points) Answer: not a tree
Explanation: A tree is a connected graph with no cycles, and there is cycles in this graph
b. (2 points) Answer: yes
Explanation: A tree is a connected graph with no cycles, and there is no cycles in this graph

c. (1 point) Answer: no
Explanation: A tree is a connected graph with no cycles, and there a cycle in this graph

3. Determine and sketch two different spanning trees for this graph:
a. (1 point) b. (1 point)

4. Consider this graph:
a. Determine the total weight for this graph. Show your work. (1 point)
Answer: 122
Explanation: 5 + 10 +5 +10 +17 +15 + 5 +4+4+8+5+6+13+7+8
b. Draw one spanning tree for this weighted graph and determine its weight. Show your work. (1 point)
[Hint: One way to do this is to make a copy of the graph using cut/paste, then show your spanning tree.]
Answer:
Total weight:

Part II. Case Study The Case of the Yip-it-tee DooDahs

This week, the cast and crew of the “Patty Madeye Mysteries” will be filming…...

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See who wins | - Chapter 83 | Chap 111 2018-01-02 12:57:54