2-3-4 Trees
Explore the concept of 2-3-4 trees, a balanced search tree variation that allows up to three keys and four child nodes per internal node. Understand their key properties and how insertion and deletion work similarly to 2-3 trees, helping you implement this data structure effectively in C++.
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Introduction
2-3-4 is a search tree that is an advanced version of 2-3 Trees. This tree can accommodate more keys and hence more child nodes as compared to 2-3 Trees. 2-3-4 satisfies all the properties covered in 2-3 Trees along with some additional key features:
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Each internal node can contain at max three keys
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Each internal node can have at max four child nodes
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In case of three keys at an internal node namely left, mid, and right key, all the keys present at LeftChild node are smaller than the left key, which can be mathematically expressed as:
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