Explanation :
For the above graph, conducting depth First
scarch:
Stack : A
Stack : DBC Tree : A
Stack : EBC Tree : A / D
Stack : BC Tree : A / D / E
Stack : BC
Stack : Φ Tree :
Considering l eaf nodes E and C, t he gi ven
condition is satisfied as their degrees are more
than one. But none of (A), (B) or (C) hold.
But a cycle consisting of E and all its neighbour hold.