节点深度是指从树的根节点到该节点的路径中存在的边数。

节点的高度是指连接该节点到叶节点的最长路径中存在的边数。

深度:节点上面有多少条边，这就是节点的深度 高度:节点下面有多少条边，即节点的高度

 Node1 // depth = 0 and height = 2 => root node
  |
 / \
Node2 Node3 //depth = 1 and height = 1
|     |
Node4 Node5  //depth = 2 and height = 0  => leaf node```

另一种理解这些概念的方式如下: 深度:在根位置画一条水平线，并将这条线作为地面。所以根结点的深度是0，它所有的子结点都向下增长所以每一层结点的深度都是+ 1。

高度:同样的水平线，但这次地面位置是外部节点，这是树的叶子，向上计数。

树的高度和深度是相等的……

但是节点的高度和深度是不相等的，因为…

高度是通过从给定节点遍历到可能最深的叶来计算的。

深度是从根到给定节点.....的遍历计算的

我想写这篇文章是因为我是一名计算机专业的本科生，我们越来越多地使用OpenDSA和其他开源教科书。从评分最高的答案来看，似乎教高度和深度的方式一代一代都在改变，我把这篇文章贴出来是为了让每个人都意识到这种差异现在是存在的，希望不会在任何程序中导致错误!谢谢。

摘自OpenDSA数据结构和算法书:

If n1, n2,...,nk is a sequence of nodes in the tree such that ni is the parent of ni+1 for 1<=i<k, then this sequence is called a path from n1 to nk. The length of the path is k−1. If there is a path from node R to node M, then R is an ancestor of M, and M is a descendant of R. Thus, all nodes in the tree are descendants of the root of the tree, while the root is the ancestor of all nodes. The depth of a node M in the tree is the length of the path from the root of the tree to M. The height of a tree is one more than the depth of the deepest node in the tree. All nodes of depth d are at level d in the tree. The root is the only node at level 0, and its depth is 0. Figure 7.2.1: A binary tree. Node A is the root. Nodes B and C are A's children. Nodes B and D together form a subtree. Node B has two children: Its left child is the empty tree and its right child is D. Nodes A, C, and E are ancestors of G. Nodes D, E, and F make up level 2 of the tree; node A is at level 0. The edges from A to C to E to G form a path of length 3. Nodes D, G, H, and I are leaves. Nodes A, B, C, E, and F are internal nodes. The depth of I is 3. The height of this tree is 4.

节点的“深度”(或等效的“层数”)是根节点“路径”上的边数

节点的“高度”是指从该节点到叶节点的最长路径上的边数。