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Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.
Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)
  • a)
    There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.
  • b)
    There is a unique minimum spanning tree, however there is more than one maximum spanning tree here
  • c)
    There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.
  • d)
    There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.
  • e)
    There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Consider the following undirected connected graph G with weights on it...
In the graph we have all edge weights are distinct so we will get unique minimum and maximum spanning tree.
Each Cycle must exclude maximum weight edge in minimum spanning tree.
Here we have two cycle of 3 edges , ade and cgk .
for second best minimum spanning tree = exclude ae edge and include de edge
other way : second best minimum spanning tree= exclude cg edge and include gk edge.
so e should be the ans.
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Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer?
Question Description
Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. 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 following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. 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 following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer?.
Solutions for Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
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(Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. 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(Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following undirected connected graph G with weights on its edges as given in the figure below. A minimum spanning tree is a spanning tree of least weight and a maximum spanning tree is one with largest weight. A second best minimum spanning tree whose weight is the smallest among all spanning trees that are not minimum spanning trees in G.Which of the following statements is TRUE in the above graph? (Note that all the edge weights are distinct in the above graph)a)There is more than one minimum spanning tree and similarly, there is more than one maximum spanning tree here.b)There is a unique minimum spanning tree, however there is more than one maximum spanning tree herec)There is more than one minimum spanning tree, however there is a unique maximum spanning tree here.d)There is more than one minimum spanning tree and similarly, there is more than one second-best minimum spanning tree here.e)There is unique minimum spanning tree, however there is more than one second-best minimum spanning tree here.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
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