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Let G be a graph with 10 vertices, and d(v) be the degree of a vertex v. The following conditions are holds for graph G
(i) 3 ≤ d(v) ≤5 for each vertex v in G
(ii) Not every vertex degree is even
(iii) No two odd degree vertices are of the same degree.
How many vertices are even degree in G?
  • a)
    8
  • b)
    6
  • c)
    7
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let G be a graph with 10 vertices, and d(v) be the degree of a vertex ...
8 vertices are having degree 4.
1 vertex with degree 3.
1 vertex with degree 5.
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Let G be a graph with 10 vertices, and d(v) be the degree of a vertex v. The following conditions are holds for graph G(i) 3 ≤ d(v) ≤5 for each vertex v in G(ii) Not every vertex degree is even(iii) No two odd degree vertices are of the same degree.How many vertices are even degree in G?a)8b)6c)7d)5Correct answer is option 'A'. Can you explain this answer?
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Let G be a graph with 10 vertices, and d(v) be the degree of a vertex v. The following conditions are holds for graph G(i) 3 ≤ d(v) ≤5 for each vertex v in G(ii) Not every vertex degree is even(iii) No two odd degree vertices are of the same degree.How many vertices are even degree in G?a)8b)6c)7d)5Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let G be a graph with 10 vertices, and d(v) be the degree of a vertex v. The following conditions are holds for graph G(i) 3 ≤ d(v) ≤5 for each vertex v in G(ii) Not every vertex degree is even(iii) No two odd degree vertices are of the same degree.How many vertices are even degree in G?a)8b)6c)7d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let G be a graph with 10 vertices, and d(v) be the degree of a vertex v. The following conditions are holds for graph G(i) 3 ≤ d(v) ≤5 for each vertex v in G(ii) Not every vertex degree is even(iii) No two odd degree vertices are of the same degree.How many vertices are even degree in G?a)8b)6c)7d)5Correct answer is option 'A'. Can you explain this answer?.
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