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  3. prove by induction that for any simple connected g

prove by induction that for any simple connected graph G, if G has exactly one cycle...

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Advance Math

prove by induction that for any simple connected graph G, if G hasexactly one cycle then G has the same number of edges andnodes

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4.2 Ratings (550 Votes)
Note that a cycle has same number of edges and nodes Therefore we are assuming that the graph has edges outside the cycle ie there are edges which are not in the cycle Now consider a graph with 3 vertices    See Answer
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