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Question

The vertex connectivity of any tree is


A

One

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B

Two

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C

Three

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D

None of the above

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Solution

The correct option is A

One


Explanation for the correct option:

  • Vertex connectivity is defined as the smallest number of vertices whose deletion causes a connected graph to not be connected.
  • This is the minimum number of vertices needed to remove to make the graph not strongly connected.
  • So, the vertex connectivity of any tree is one because whenever we remove one vertex from a tree it becomes disconnected.

Hence the correct option is option(A).


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