Vertex connectivity

Question

What is the vertex connectivity for a complete graph k4,k5,k6???

Comments

Yes i also read complete graph have n-1 vertex connectivity . But i dond know how ??

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If complete graph has n-1 connectivity than we will get an isolated vertex Is it disconnected????

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By 0 i mean, vertex connectivity is for connected graph which are not the complete graph.

Answer 1

actually this question have ambigous answer. somewhere i found it n-1 for complete and somewhere it is said does not exist. according to me it should be does not exist bcoz after removal of n-1 vertices still u will remain with 1 vertex which is by default connected.

Comments

vertex connectivity means by how many vertices the given vertex is connected and by removing n-1 it will isolate the selected vertex hence minimum number of vertex connecting edges required to be removed to isolate the vertex is called its connectivity
and therefore n-1 is correct