To elaborate further ... One might dispute (or rather get confused) if the graph is directed or not¹, but in either case it's certainly not a tree.

            1
           /|
          2 |
           \| 
            3

[download]

edit

Furthermore asking for the "shortest" path in a tree doesn't make much sense, there is by definition exactly one between any two nodes.

Cheers Rolf

(addicted to the Perl Programming Language and ☆☆☆☆ :)

¹) the definition above circumvents the problem by postulating an undirected graph.

In reply to Re^5: Tree in perl by LanX
in thread Tree in perl by saurabh2k26

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