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Tree isomorphism Two unordered binary trees A and B are said to be isomorphic if

ID: 3864278 • Letter: T

Question

Tree isomorphism Two unordered binary trees A and B are said to be isomorphic if, by swapping the left and right subtrees of certain nodes of A, one can obtain a tree identical to B. For example, the following two trees are isomorphic: Write the pseudocode of a recursive algorithm that tests if the trees rooted at two given tree Nodes are isomorphic.

Explanation / Answer

bool isomorphic(node p, node r) if (p = null & r = null) return true // check for empty trees if true goes outside of test if (p = null || r = null) return false //check for number of subtree and false output else return (isomorphic(p->leftchild, r->leftchild) && isomorphic(p->rightchild, r->rightchild) || (isomorphic(p->leftchild, r->rightchild) && isomorphic(p->rightchild, r->leftchild))

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