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This chapter focuses on various tree operations, specifically how to find minimum and maximum values in a binary search tree, as well as understanding the concepts of successor and predecessor in such trees. Through recursive and iterative methods, the minimum and maximum nodes are determined by traversing left and right, respectively. The chapter also discusses how to identify successors and predecessors given specific tree conditions, providing insights into their implementations through structured algorithms.
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References
ch39 part b.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: Minimum Value in Binary Search Tree
Definition: The leftmost node in a binary search tree represents the minimum value, as all lesser values are present in the left side.
Term: Maximum Value in Binary Search Tree
Definition: The rightmost node represents the maximum value in a binary search tree, as it is greater than all values in the left subtree.
Term: Successor
Definition: The successor of a node is the minimum value from its right subtree or the closest ancestor that is greater than the node.
Term: Predecessor
Definition: The predecessor of a node is the maximum value from its left subtree or the closest ancestor that is smaller than the node.