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)
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.
完满二叉树(Full Binary Tree)
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