- A tri-node restructuring operation
will only reduce
the height of the tree !!!
Example:
- Before
applying the
tri-node restructuring operation:
Notice that the height of x is h+4
- After
applying the
tri-node restructuring operation:
Notice that the height of x is now h+3 (smaller) !!
- Before
applying the
tri-node restructuring operation:
- The delete operation
caused a node to become
unbalanced due to
reduction in the height in
one subtree
- To re-balance the AVL tree, we must reduce the height in its sibling tree
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