Question: Two ordered trees T and T are said to be isomorphic if one of the following holds: Both T and T are empty.

Two ordered trees T′ and T′′ are said to be isomorphic if one of the following holds:

• Both T′ and T′′ are empty.

• Both T′ and T′′ consist of a single node

• The roots of T′ and T′′ have the same number k ≥ 1 of subtrees, and the i^th such subtree of T′ is isomorphic to the i^th such subtree of T′′ for i = 1, . . . ,k.

Design an algorithm that tests whether two given ordered trees are isomorphic. What is the running time of your algorithm?

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