Java代码实现在一颗三叉链表表示的二叉树中删除二叉树中的一个结点
时间: 2024-03-12 17:49:56 浏览: 19
以下是Java代码实现在一颗三叉链表表示的二叉树中删除二叉树中的一个结点的示例:
```java
public class ThreeLinkBinaryTree {
private TreeNode root;
public class TreeNode {
int data;
TreeNode left;
TreeNode right;
TreeNode parent;
public TreeNode(int data) {
this.data = data;
this.left = null;
this.right = null;
this.parent = null;
}
}
public ThreeLinkBinaryTree() {
root = null;
}
public void insert(int data) {
TreeNode newNode = new TreeNode(data);
if (root == null) {
root = newNode;
} else {
TreeNode current = root;
while (true) {
if (data < current.data) {
if (current.left == null) {
current.left = newNode;
newNode.parent = current;
break;
} else {
current = current.left;
}
} else {
if (current.right == null) {
current.right = newNode;
newNode.parent = current;
break;
} else {
current = current.right;
}
}
}
}
}
public boolean delete(int data) {
TreeNode current = findNode(data);
if (current == null) {
return false;
}
if (current.right == null) {
transplant(current, current.left);
} else if (current.left == null) {
transplant(current, current.right);
} else {
TreeNode successor = minimum(current.right);
if (successor.parent != current) {
transplant(successor, successor.right);
successor.right = current.right;
successor.right.parent = successor;
}
transplant(current, successor);
successor.left = current.left;
successor.left.parent = successor;
}
return true;
}
private TreeNode findNode(int data) {
TreeNode current = root;
while (current != null && current.data != data) {
if (data < current.data) {
current = current.left;
} else {
current = current.right;
}
}
return current;
}
private void transplant(TreeNode u, TreeNode v) {
if (u.parent == null) {
root = v;
} else if (u == u.parent.left) {
u.parent.left = v;
} else {
u.parent.right = v;
}
if (v != null) {
v.parent = u.parent;
}
}
private TreeNode minimum(TreeNode node) {
while (node.left != null) {
node = node.left;
}
return node;
}
}
```
在上述代码中,我们通过 `findNode` 方法来查找需要删除的节点。如果需要删除的节点没有左孩子或右孩子,我们可以直接用它的左孩子或右孩子来替换它。如果需要删除的节点有左孩子和右孩子,我们需要找到它的后继节点,并用后继节点来替换它。然后,我们将需要删除的节点的左子树和右子树连接到后继节点上。最后,我们要注意更新它们的父节点关系。
需要注意的是,在这个三叉链表表示的二叉树中,每个节点都有一个指向其父节点的指针,这样我们就可以方便地进行删除操作。