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Am afraid, that's an inaccurate statement from the author. You can have duplicates as long as your satisfy the BST property. Just to quote Cormen, "The keys in a binary search tree are always stored in such a way as to satisfy the
binary-search-tree property:
Let x be a node in a binary search tree. If y is a node in the left subtree
of x, then y:key <= x:key. If y is a node in the right subtree of x, then
y:key >= x:key.". However the point to be noted is, the duplicate conditions are trivial.
Trees: Is This a Binary Search Tree?
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Am afraid, that's an inaccurate statement from the author. You can have duplicates as long as your satisfy the BST property. Just to quote Cormen, "The keys in a binary search tree are always stored in such a way as to satisfy the binary-search-tree property: Let x be a node in a binary search tree. If y is a node in the left subtree of x, then y:key <= x:key. If y is a node in the right subtree of x, then y:key >= x:key.". However the point to be noted is, the duplicate conditions are trivial.