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“完全二叉树"、“严格二叉树"、“全二叉树"的区别?

更新时间:2022-10-17 17:49:50

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全二叉树(有时是正二叉树或二叉树或严格二叉树)是一棵树,其中除叶子之外的每个节点都有两个孩子.

所以你没有只有 1 个孩子的节点.看起来和严格二叉树一样.

这是一个完整/严格二叉树的图像,来自谷歌:

完全二叉树是一种二叉树,其中每一层(可能除了最后一层)都被完全填充,并且所有节点都尽可能地向左.

这似乎意味着一个平衡的树.

这是一个完整的二叉树的图片,来自谷歌,图片的完整树部分是额外的.

I am confused about the terminology of the below trees, I have been studying the Tree, and I am unable to distinguish between these trees:

a) Complete Binary Tree

b) Strict Binary Tree

c) Full Binary Tree

Please help me to differentiate among these trees. When and where these trees are used in Data Structure?

Wikipedia yielded

A full binary tree (sometimes proper binary tree or 2-tree or strictly binary tree) is a tree in which every node other than the leaves has two children.

So you have no nodes with only 1 child. Appears to be the same as strict binary tree.

Here is an image of a full/strict binary tree, from google:

A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

It seems to mean a balanced tree.

Here is an image of a complete binary tree, from google, full tree part of image is bonus.