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Question 1 Consider the following network (G, w), in which each vertex is labeled with its name and each edge e € E(G) with its weight w(e). f 2 5 a 3 5 P 3 4 b C (a) I Does there exist a minimum spanning tree of (G, w) that does not contain the edge de? Justify your answer. (b) Does there exist a minimum spanning tree of (G,w) that contains both of the edges bd and bf? Justify your answer.

Question 1 Consider the following network (G, w), in which each vertex is labeled with its name and each edge e € E(G) with its weight w(e). f 2 5 a 3 5 P 3 4 b C (a) I Does there exist a minimum spanning tree of (G, w) that does not contain the edge de? Justify your answer. (b) Does there exist a minimum spanning tree of (G,w) that contains both of the edges bd and bf? Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1 Consider the following network (G, w), in which each vertex is labeled with its name and each edge e = E(G) with its weight w(e). f 2 e 5 2 α 3 5 d 3 4 b 4 (a)Does there exist a minimum spanning tree of (G, w) that does not contain the edge de? Justify your answer. (b) Does there exist a minimum spanning tree of (G, w) that contains both of the edges bd and bf? Justify your answer.
Transcribed Image Text:Question 1 Consider the following network (G, w), in which each vertex is labeled with its name and each edge e = E(G) with its weight w(e). f 2 e 5 2 α 3 5 d 3 4 b 4 (a)Does there exist a minimum spanning tree of (G, w) that does not contain the edge de? Justify your answer. (b) Does there exist a minimum spanning tree of (G, w) that contains both of the edges bd and bf? Justify your answer.
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