If we exclude isomorphic trees (see Exercise C-8.33), exactly how many proper binary trees exist with exactly

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If we exclude isomorphic trees (see Exercise C-8.33), exactly how many proper binary trees exist with exactly 4 leaves?


Exercise C-8.33

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 ith such subtree of T′ is isomorphic to the ith 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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Data Structures and Algorithms in Java

ISBN: 978-1118771334

6th edition

Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser

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