Can an edge be part of more than one cycle in a graph? Explain.
What will be an ideal response?
Yes, an edge can be part of more than one cycle. For example, consider the following graph.
vertices: A, B, C, D, E
edges: (A,B),(C,D), (B,D), (B,C), (C,E), (D,E)
In this graph, the edge (C,D) is part of the cycle (B,C),(C,D),(D,B) and also part of the cycle (C,E),(E,D),(D,C).
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