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Let G be a simple graph with 20 vertices and 8 components. If we delete a vertex in G, then number of components in G should lie between ____.
  • a)
    8 and 20
  • b)
    8 and 19
  • c)
    7 and 19
  • d)
    7 and 20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let G be a simple graph with 20 vertices and 8 components. If we delet...
Case 1: If the vertex we are deleting from G is an isolated vertex, which is a component by itself, then number of components in G becomes 7.
Case 2: If G is a start Graph, then by deleting the cut vertex of G, we get 19 components.
Hence, number of components in G should lie between 7 and 19.
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Most Upvoted Answer
Let G be a simple graph with 20 vertices and 8 components. If we delet...
Case 1: If the vertex we are deleting from G is an isolated vertex, which is a component by itself, then number of components in G becomes 7.
Case 2: If G is a start Graph, then by deleting the cut vertex of G, we get 19 components.
Hence, number of components in G should lie between 7 and 19.
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Let G be a simple graph with 20 vertices and 8 components. If we delete a vertex in G, then number of components in G should lie between ____.a)8 and 20b)8 and 19c)7 and 19d)7 and 20Correct answer is option 'C'. Can you explain this answer?
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