Bifalgorithm post · Brisk · Chapter 1

What makes a rooted tree a binary tree?

What makes a rooted tree a binary tree? (Brisk · Chapter 1) — "The nodes in a rooted tree can have any number of children. There’s a special type of rooted tre…

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  • A binary tree is a special type of rooted tree.
  • Nodes in a rooted tree can have any number of children.
  • Each node in a binary tree can have at most two children.
  • The two possible children are labeled the left child and the right child.
  • A node may have only a left child or only a right child, and its direction remains significant.
  • Figure 5.16 compares examples of binary and non-binary trees.
  • The left half of Figure 5.16 is a binary tree.
  • The right half is not a binary tree because C has three children.
  • A larger binary tree with height 4 is also shown.
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What makes a rooted tree a binary tree?

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Brisk

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"The nodes in a rooted tree can have any number of children. There’s a special type of rooted tree, though, called a binary tree which we restrict by simply saying that each node can have at most two children. Furthermore, we’ll label each of these two children as the “left child” and “right child.” (Note that a particular node might well have only a left child, or only a right child, but it’s still important to know which direction that child is.) The left half of Figure 5.16 is a binary tree, but the right half is not (C has three children). A larger binary tree (of height 4) is shown in Figure"

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