Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let G be a complete undirected graph on 4 ver...
Start Learning for Free
Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________
Correct answer is '7'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Let G be a complete undirected graph on 4 vertices, having 6 edges wit...
it is said maximum weight pssbl.
draw a triangle. 3 sides weight 1 2 3. and 4th point is in center. join it with tringle vertices.. got more 3 sides. new side weight 4 5 6. now draw mst. take 1 take 2. cant take 3, so take 4. 1+2+4=7
Most Upvoted Answer
Let G be a complete undirected graph on 4 vertices, having 6 edges wit...
Explanation:
A minimum weight spanning tree (MST) is a tree that spans all the vertices of a graph and has the lowest possible total edge weight. In a complete undirected graph on 4 vertices, the MST has only 3 edges.
To find the maximum possible weight that a minimum weight spanning tree of G can have, we need to consider the weights of the edges that are not included in the MST.
Let's assume that the MST has edges with weights w1, w2, and w3. Then, the other three edges have weights w4, w5, and w6.
To maximize the weight of the MST, we need to minimize the weights of the edges that are not included in the MST. Therefore, we need to include the edges with the smallest weights.
Let's consider two cases:
Case 1: The MST includes the edges with weights 1, 2, and 3.
In this case, the maximum possible weight of the MST is 1 + 2 + 3 = 6.
Case 2: The MST includes the edges with weights 1, 2, and 4 or 5.
In this case, the maximum possible weight of the MST is 1 + 2 + 4 (or 5) = 7.
Therefore, the maximum possible weight that a minimum weight spanning tree of G can have is 7.
A minimum weight spanning tree (MST) is a tree that spans all the vertices of a graph and has the lowest possible total edge weight. In a complete undirected graph on 4 vertices, the MST has only 3 edges.
To find the maximum possible weight that a minimum weight spanning tree of G can have, we need to consider the weights of the edges that are not included in the MST.
Let's assume that the MST has edges with weights w1, w2, and w3. Then, the other three edges have weights w4, w5, and w6.
To maximize the weight of the MST, we need to minimize the weights of the edges that are not included in the MST. Therefore, we need to include the edges with the smallest weights.
Let's consider two cases:
Case 1: The MST includes the edges with weights 1, 2, and 3.
In this case, the maximum possible weight of the MST is 1 + 2 + 3 = 6.
Case 2: The MST includes the edges with weights 1, 2, and 4 or 5.
In this case, the maximum possible weight of the MST is 1 + 2 + 4 (or 5) = 7.
Therefore, the maximum possible weight that a minimum weight spanning tree of G can have is 7.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer?
Question Description
Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. 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 Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. 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 Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer?.
Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. 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 Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. 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 Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer?.
Solutions for Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. 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.
Here you can find the meaning of Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer?, a detailed solution for Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer? has been provided alongside types of Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 1, 2, 3, 4, 5, and 6. The maximum possible weight that a minimum weight spanning tree of G can have is __________Correct answer is '7'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup