二叉樹
組成:
1、根節點 BinaryTree:root
2、每一個節點,都有左子節點和右子節點(可以為空) TreeNode:value、left、right
二叉樹的遍歷:
遍歷二叉樹:深度優先遍歷、廣度優先遍歷。

廣度:先遍歷兄弟節點,再遍歷子節點
深度:先遍歷子節點,再遍歷兄弟節點
上圖深度遍歷結果:50/20/60/15/30/70
上圖廣度遍歷結果:50/20/15/30/60/70
深度遍歷又分為先序、中序、后序的遍歷方式:
先序遍歷:先根節點,再左子樹,再右子樹
上圖先序遍歷結果:50/20/ 15/ 30/ 60/ 70
中序遍歷:先左子樹,再根節點,再右子樹
上圖中序遍歷結果:15/20/30/50/60/70
后序遍歷:先左子樹,再右子樹,再根節點
上圖后序遍歷結果:15/30/20/70/60/50
代碼實現:
# encoding=utf-8
class TreeNode(object): #定義二叉樹類
def __init__(self,val,left=None,right=None):
self.val = val
self.left = left
self.right = right
class BinaryTree(object):
def __init__(self,root=None):
self.root = root
def preScan(self,retList, node): #先序遍歷:先跟、再左、后右
if node != None:
retList.append(node.val)
self.preScan(retList, node.left)
self.preScan(retList, node.right)
return retList
def midScan(self, retList, node): #中序遍歷:先左、再跟、后右
if node != None:
self.midScan(retList, node.left)
retList.append(node.val)
self.midScan(retList, node.right)
return retList
def postScan(self, retList, node): #后序遍歷:先左、再右、后跟
if node != None:
self.postScan(retList, node.left)
self.postScan(retList, node.right)
retList.append(node.val)
return retList
if __name__ =='__main__':
root = TreeNode(50)
root.left = TreeNode(20,left=TreeNode(15),right=TreeNode(30,right=TreeNode(12)))
root.right = TreeNode(60,right=TreeNode(70))
bTree = BinaryTree(root)
retList = bTree.preScan([],bTree.root)
print retList
retList2 = bTree.midScan([],bTree.root)
print retList2
retList3 = bTree.postScan([],bTree.root)
print retList3
