Identify whether the given path in the graph is (a) A simple path (b) A cycle (c) A simple cycle (i) (b, b) (ii) (a, d, c, d, e) (iii) (e, d, c, b) (iv) (d, c, b, e, d) (v) (a, d, c, b, e)
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Solution:
Assume the given graph is:
(i) (b, b) - a cycle and a simple cycle.
(ii) (a, d, c, d, e) - none of three.
(iii) (e, d, c, b) - a simple path.
(iv) (d, c, b, e, d) - a cycle and a simple cycle.
(v) (a, d, c, b, e) - a path.