Rotation in Binary trees

Chameerawijebandara's Blog

As a example I have use RIGHT-ROTATE to present the steps of the rotations. LEFT-ROTATE is also semantic.

RIGHT-ROTATE(T, x)

  1.         y = x.left                              // set y
  2.         x.left = y.right                    // turn y’s right sub tree into x’s left sub tree
  3.         if y.right ≠ NULL
  4.                         y.right.parent = x
  5.         y.parent = x.parent         // link x’s parent to y
  6.         if x.parent == NULL
  7.                         T.root = y
  8.         else if x == x.parent.left
  9.                         x.parent.left = y
  10.         else
  11.                         x.parent.right = y
  12.         y.right = x                            // put x on y’s right
  13.         x.parent = y

Assumptions

  • Assume that the n items are distinct.

step_0step_1step_2step_3step_4step_5step_6step_7

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About Khuram Ali

Programming... Programming and Programming...!!!

Posted on July 16, 2014, in Programming. Bookmark the permalink. Leave a comment.

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