数据结构-树

发现国内好多教材对树的解释含含糊糊,找了下英文原版,理解就没那么费劲了

结点的level:The level of a node is defined by 0 + (the number of connections between the node and the root).

结点的高度(Height):The height of a node is the number of edges on the longest path between that node and a leaf.

树的高度:The height of a tree is the height of its root node.

结点的深度(Depth of node):The depth of a node is the number of edges from the tree's root node to the node.

结点的度(Degree):The number of sub trees of a node.

叶子(Leaf):A node with no children.

二叉树的性质:

(1)若二叉树的层次从0开始,则在二叉树的第i层至多有2^i个结点(i>=0)。

(2)高度为k的二叉树最多有2^(k+1) - 1个结点(k>=-1)。 (空树的高度为-1)

(3)对任何一棵二叉树,如果其叶子结点(度为0)数为m, 度为2的结点数为n, 则m = n + 1。

完美二叉树(Perfect Binary Tree)

数据结构-树

完全二叉树(Complete Binary Tree)

A Complete Binary Tree (CBT) is a binary tree in which every level, 
except possibly the last, is completely filled, and all nodes
are as far left as possible.
数据结构-树

完满二叉树(Full Binary Tree)

数据结构-树

数据结构-树


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