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Consider the undirected graph below:
Using Prim’s algorithm to construct a minimum spanning tree starting with node A, which one of the following sequences of edges represents a possible order in which the edges would be added to construct the minimum spanning tree?
  • a)
    (E,G), (C.F), (F,G), (A,D), (A,B), (A,C)
  • b)
    (A,D), (A,B). (A,C), (C,F), (G,E), (F,G)
  • c)
    (A,B),(A,D),(D,F),(F,G),(G,E),(F,C)
  • d)
    (A,D), (A,B), (D,F), (F,C), (F,G), (G,E)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the undirected graph below:Using Prim’s algorithm to co...
Prim’s algorithm having special property which is, while finding minimum cost spanning tree, graph always be connected.
Now for correct options, we need to check while entry for any edge except for 1st edge only one vertex match from all left side (i.e. visited edges) edges.
(a) (E, G), (C, F ) : here for edge (C, F) no vertex match to (E, G). So not possible using Prim’s.
(b) (A, D), (A, B), (A, C), (C, F), (G, E ) : here for edge (G, E) no vertex match to any edge present left side of it so not possible using Prim’s.
(c) (A, B), (A, D), (D, F), (F, G), (G, E), (F, C) not violated rule i.e. always connected in construction of MST.
So True.
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Consider the undirected graph below:Using Prim’s algorithm to construct a minimum spanning tree starting with node A, which one of the following sequences of edges represents a possible order in which the edges would be added to construct the minimum spanning tree?a)(E,G), (C.F), (F,G), (A,D), (A,B), (A,C)b)(A,D), (A,B). (A,C), (C,F), (G,E), (F,G)c)(A,B),(A,D),(D,F),(F,G),(G,E),(F,C)d)(A,D), (A,B), (D,F), (F,C), (F,G), (G,E)Correct answer is option 'C'. Can you explain this answer?
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Consider the undirected graph below:Using Prim’s algorithm to construct a minimum spanning tree starting with node A, which one of the following sequences of edges represents a possible order in which the edges would be added to construct the minimum spanning tree?a)(E,G), (C.F), (F,G), (A,D), (A,B), (A,C)b)(A,D), (A,B). (A,C), (C,F), (G,E), (F,G)c)(A,B),(A,D),(D,F),(F,G),(G,E),(F,C)d)(A,D), (A,B), (D,F), (F,C), (F,G), (G,E)Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the undirected graph below:Using Prim’s algorithm to construct a minimum spanning tree starting with node A, which one of the following sequences of edges represents a possible order in which the edges would be added to construct the minimum spanning tree?a)(E,G), (C.F), (F,G), (A,D), (A,B), (A,C)b)(A,D), (A,B). (A,C), (C,F), (G,E), (F,G)c)(A,B),(A,D),(D,F),(F,G),(G,E),(F,C)d)(A,D), (A,B), (D,F), (F,C), (F,G), (G,E)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the undirected graph below:Using Prim’s algorithm to construct a minimum spanning tree starting with node A, which one of the following sequences of edges represents a possible order in which the edges would be added to construct the minimum spanning tree?a)(E,G), (C.F), (F,G), (A,D), (A,B), (A,C)b)(A,D), (A,B). (A,C), (C,F), (G,E), (F,G)c)(A,B),(A,D),(D,F),(F,G),(G,E),(F,C)d)(A,D), (A,B), (D,F), (F,C), (F,G), (G,E)Correct answer is option 'C'. Can you explain this answer?.
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