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The minimum number of edges in a connected cyclic graph on n vertices is _____________(a) n – 1(b) n(c) 2n+3(d) n+1I have been asked this question in semester exam.This is a very interesting question from Complete and Connected Graphs in section Graphs of Discrete Mathematics

Answer»

The CORRECT choice is (b) n

To explain I WOULD say: For making a cyclic graph, the minimum NUMBER of edges have to be EQUAL to the number of vertices. SO, the answer should be n minimum edges.



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