2018-01-04 19:13:46

一、树

在计算机科学中,(英语:tree)是一种数据结构,用来模拟具有树状结构性质的数据集合。它是由n(n>0)个有限节点组成一个具有层次关系的集合。把它叫做“树”是因为它看起来像一棵倒挂的树,也就是说它是根朝上,而叶朝下的。

客观世界中有很多具有层次关系的事物:

  • 人类的社会家谱
  • 社会组织结构
  • 图书管理信息

类似这种层次结构就非常适用使用树来表示。

使用树的结构有很多有点,比如更形象的表述了层次关系,并且可以加速查找。

  • 树的定义:

  • 树的一些术语:

比如这里的L,M的深度就是4,因为他们在第4层。

  • 树的表示:

 1)链表存储

每个结点保存有一个指向其儿子结点的指针。这种方法为了程序的统一性,那么对于n个结点的树,就会产生3n个的指针树,也就是3n的边树,事实上,一颗树显然只有n-1条边,所以会有2n+1个指针为空,这就造成了空间的浪费。

2)儿子-兄弟表示法

每个结点有两个指针,第一个指针指向他的第一个儿子,第二个指针指向他的兄弟,这样就可以组织好一个树,并且这种结构产生的指针为2n,那么对于n-1条边,总共浪费了n+1个指针空间,浪费明显少了很多。

将这种结构旋转45度,其实就是一种二叉树的表示。

二、二叉树

二叉树(英语:Binary tree)是每个节点最多只有两个分支(不存在分支度大于2的节点)的树结构。通常分支被称作“左子树”和“右子树”。二叉树的分支具有左右次序,不能颠倒。

  • 二叉树的定义:

  • 二叉树的重要性质:

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" 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  • 二叉树的抽象数据类型定义

1)数组表示

对于完全二叉树,可以很方便的放到数组中存储,并且很容易就能得到儿子结点,得到父结点。

对于一般的二叉树,也可以使用这种方法存储,但是会造成空间的浪费。

2)链表存储

三、二叉树的遍历的递归实现

  • 先序遍历

  • 中序遍历

  • 后序遍历

三种递归方式的总结:

四、二叉树遍历的非递归实现

  • 中序遍历的非递归实现

  • 先序遍历的非递归实现

第一次压栈其实就是第一次碰到,所以直接在这里输出就可以实现先序遍历。

  • 后序遍历的非递归实现

方法一、先序的访问顺序是root, left, right 假设将先序左右对调,则顺序变成root, right, left,暂定称之为“反序”。

后序遍历的访问顺序为left, right,root ,刚好是“反序”结果的逆向输出。于是方法如下:

1、反序遍历二叉树,具体方法为:将先序遍历代码中的left 和right 对调即可。

数据存在堆栈S中。

2、在先序遍历过程中,每次Push节点后紧接着print结点。

对应的,在反序遍历时,将print结点改为把当前结点 PUSH到堆栈Q中。

3、反序遍历完成后,堆栈Q的压栈顺序即为反序遍历的输出结果。

此时再将堆栈Q中的结果pop并print,即为“反序”结果的逆向,也就是后序遍历的结果。

缺点是堆栈Q的深度等于数的结点数,空间占用较大。

    void PostOrderTraversal( BinTree BT )
{
BinTree T BT;
Stack S = CreatStack( MaxSize ); /*创建并初始化堆栈S*/
Stack Q = CreatStack( MaxSize ); /*创建并初始化堆栈Q,用于输出反向*/
while( T || !IsEmpty(S) ){
while(T){ /*一直向右并将沿途结点压入堆栈*/
Push(S,T);
Push(Q,T);/*将遍历到的结点压栈,用于反向*/
T = T->Right;
}
if(!IsEmpty(S)){
T = Pop(S); /*结点弹出堆栈*/
T = T->Left; /*转向左子树*/
}
}
while( !IsEmpty(Q) ){
T = Pop(Q);
printf(“%5d”, T->Data); /*(访问)打印结点*/
}
}

方法二、当然也可以使用一个栈进行实现:对于任一结点P,将其入栈,然后沿其左子树一直往下搜索,直到搜索到没有左孩子的结点,此时该结点出现在栈顶,但是此时不能将其出栈并访问,因此其右孩子还为被访问。所以接下来按照相同的规则对其右子树进行相同的处理,当访问完其右孩子时,该结点又出现在栈顶,此时可以将其出栈并访问。这样就保证了正确的访问顺序。可以看出,在这个过程中,每个结点都三次出现在栈顶,只有在第三次出现在栈顶时,才能访问它。因此需要多设置一个变量标识。

void postOrder(BinTree *root)    //非递归后序遍历
{
stack<BTNode*> s;
BinTree *p=root;
BTNode *temp;
while(p!=NULL||!s.empty())
{
while(p!=NULL) //沿左子树一直往下搜索,直至出现没有左子树的结点
{
BTNode *btn=(BTNode *)malloc(sizeof(BTNode));
btn->btnode=p;
btn->isFirst=true;
s.push(btn);
p=p->lchild;
}
if(!s.empty())
{
temp=s.top();
s.pop();
if(temp->isFirst==true) //表示是第二次出现在栈顶
{
temp->isFirst=false;
s.push(temp);
p=temp->btnode->rchild;
}
else //第三次出现在栈顶
{
cout<<temp->btnode->data<<" ";
p=NULL;
}
}
}
}

方法三、前面的两种方法都需要额外使用空间,那么是否可以不额外使用更多的空间呢?答案是肯定的。后序遍历的本质就是先遍历左边的,再遍历右的,最后再遍历中间。那么我们只需要在输出中间的数值之前先把他的左右结点压栈就可以了,当然在将其左右子树压栈的时候需要进行判断,具体的判断方式是,定义两个指针,一个指向当前栈顶元素,一个指向上一个出栈元素,不妨设第一个为cur,第二个为pre。能够打印当前的结点的条件是要么其左右子树为空,要么其左右子树都打印完毕。

每次令cur等于当前栈顶的元素,但是不从栈顶弹出,此时分为三种情况:

1)如果cur的左孩子不为空,并且pre不等于cur的左孩子,也不等于其右孩子,说明cur的左孩子还没有打印过,将之压栈;

2)如果上面的条件不满足,表明cur的左孩子已经打印完毕,现在考虑其右孩子。如果cur的右孩子不为空,并且pre不等于cur的右孩子,那么说明cur的右孩子还没有打印,将之压栈。

3)如果上面两个都不满足,说明左右孩子都打印完毕,那么将当前栈顶元素打印,并将pre置为当前打印的结点,弹出栈顶元素。

  void postOrder(Node root) {
if (root == null) {
return;
}
else {
Node cur = null;
Node pre = null;
Stack<Node> s = new Stack<>();
s.push(root);
while (!s.empty()) {
cur = s.peek();
if (cur.left != null && pre != cur.left && pre != cur.right)
s.push(cur.left);
else if (cur.right != null && pre != cur.right) {
s.push(cur.right);
}
else {
System.out.println(cur.data);
pre = cur;
s.pop();
}
}
}
}
  • 层次遍历

上面谈到的前序,中序,后序遍历本质上都是一种深度优先遍历,显然,也可以使用广度优先进行遍历。也就是层次遍历。

五、二叉树遍历的几个应用

1、求叶结点

很简单,在遍历输出的加上判断就好。

void PreOrderPrintLeaves( BinTree BT )
{
if( BT ) {
if ( !BT-Left && !BT->Right )
printf(“%d”, BT->Data );
PreOrderPrintLeaves ( BT->Left );
PreOrderPrintLeaves ( BT->Right );
}
}

2、求树高度

int PostOrderGetHeight( BinTree BT )
{ int HL, HR, MaxH;
if( BT ) {
HL = PostOrderGetHeight(BT->Left); /* 求左子树的深度*/
HR = PostOrderGetHeight(BT->Right); /* 求右子树的深度*/
MaxH = (HL > HR )? HL : HR; /* 取左右子树较大的深度*/
return ( MaxH + 1 ); /* 返回树的深度*/
}
else return 0; /* 空树深度为0 */
}

3、二元运算的表达式树

表达式树:叶结点表示运算数,中间结点是运算符。这样通过三种遍历就会得到三种表达式,这其中中缀表达式可能会受运算优先级影响导致不准确(可通过添加括号的方式予以解决)。

4、两种遍历来构建二叉树

结论是:必须要有中序遍历的结果,才能唯一确定。

因为前序是root,left,right;后序是left,right,root。根是容易确定的,一个在最前面,一个在最后面,但是左右子树可能会发生混淆。

举例使用前序,中序构建二叉树:

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