Summary Red-Black Tree Explained: Structure, Insertion, and Deletion

, December 15, 2025


Contents
1 Introduction 2

2 Definition and Properties 2
2.1 Black Height . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

3 Operation 3
3.1 Insertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.2 Deletion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3.3 Rotations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

4 Practical Example 3

5 Advantages and Disadvantages 4
5.1 Advantages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
5.2 Disadvantages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

6 Comparison with Other Trees 5

7 Applications 5

8 Conclusion 5




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