3. Draw the shortest-path tree for the single-source all-destinations shortest path rooted at vs. Notice that the source vertex is different than the one in the previous question. (V₁) V6 (V₂) (V3) (UA) (U5) What is the cost of the shortest path from verter v₁ to verter v₁.

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Only 2, 3, 4, and 5.

Question 2 (Shortest Path
Consider the directed weighted graph below and answer the following questions.
20
10
(V₁)
(U6)
10
V2 13
06
12
2.5
Consider the following sub-graph. Is this a valid shortest-path tree for the source verter v3? Answer with Yes
or No. You do not need to provide a justification. Yes
No
(V₂)
13
(V3)
upputuvie DI
12
13
(U5)
Transcribed Image Text:Question 2 (Shortest Path Consider the directed weighted graph below and answer the following questions. 20 10 (V₁) (U6) 10 V2 13 06 12 2.5 Consider the following sub-graph. Is this a valid shortest-path tree for the source verter v3? Answer with Yes or No. You do not need to provide a justification. Yes No (V₂) 13 (V3) upputuvie DI 12 13 (U5)
3.
4.
5.
Draw the shortest-path tree for the single-source all-destinations shortest path rooted at v5. Notice that the
source vertex is different than the one in the previous question.
(V₂)
(V₁)
(1) Stoneses
(U6)
(V3)
VA)
(U5)
What is the cost of the shortest path from verter v₁ to vertex v4.
What is the height of the shortest path rooted at v₁? (The height is the number of edges from the root to the
deepest node in the tree.)
Transcribed Image Text:3. 4. 5. Draw the shortest-path tree for the single-source all-destinations shortest path rooted at v5. Notice that the source vertex is different than the one in the previous question. (V₂) (V₁) (1) Stoneses (U6) (V3) VA) (U5) What is the cost of the shortest path from verter v₁ to vertex v4. What is the height of the shortest path rooted at v₁? (The height is the number of edges from the root to the deepest node in the tree.)
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