Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβperfect for learners of all ages.
This chapter discusses the concept of balanced search trees, focusing on different notions of balance and how to maintain it during insertion and deletion operations. It explains the significance of AVL trees, which are height-balanced trees that ensure the heights of left and right subtrees differ by at most one. Through analysis of tree operations, the importance of maintaining balance in search trees is emphasized to ensure efficient searching and operations.
Enroll to start learning
Youβve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
References
ch40 part a.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: Balanced Search Tree
Definition: A data structure that maintains balance during insertions and deletions, ensuring operations remain efficient.
Term: AVL Tree
Definition: A type of balanced search tree that maintains a height balance condition, where the heights of the left and right subtrees differ by at most one.
Term: Height of a Tree
Definition: The number of nodes along the longest path from the root to a leaf node, influencing the tree's efficiency.
Term: Slope
Definition: The difference in height between the left and right subtrees, which can indicate whether a tree is balanced.