2-3-4 and Red Black Trees. Do these side by side: Insert the following into a 2-3-4...
- 2-3-4 and Red Black Trees.
- Do these side by side: Insert the following into a 2-3-4 and
Red black tree:
{60, 56, 72, 39, 57, 41, 97, 85, 20, 18, 10, 16}
(Show your steps etc.)
|
Theory here |
- Explain, from your own observation in a. what it means that the
two trees are considered ‘equivalent’.
|
Theory here |
Homework Answers
Answer a:
![Solutions - a Elivenelemendo-_60,56, १२, 3१, 57,41, 92,85, २०. 10,016 2-3-4 Treel- (ii) 156]bp 60 S6 600 72 56 56 56 (v) (ज)](http://img.homeworklib.com/questions/5810f8a0-0b06-11eb-9129-f9cb938b24e7.png?x-oss-process=image/resize,w_560)
Answer b:
A red–black tree is similar in structure to a B-tree of order 4 which is said 2-3-4 tree, where each node can contain between 1 and 3 values and (accordingly) between 2 and 4 child pointers. In such a B-tree, each node will contain only one value matching the value in a black node of the red–black tree, with an optional value before and/or after it in the same node, both matching an equivalent red node of the red–black tree.
2–3–4 trees are an isometry of red–black trees, meaning that they are equivalent data structures. In other words, for every 2–3–4 tree, there exists at least one red–black tree with data elements in the same order. Moreover, insertion and deletion operations on 2–3–4 trees that cause node expansions, splits and merges are equivalent to the color-flipping and rotations in red–black trees.
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2-3-4 and Red Black Trees.
Do these side by side: Insert the following into a 2-3-4...
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In red-black tree diagrams, you will see 2 ways to represent
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other version, color information is...
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