the order of a tree
时间: 2023-04-18 14:02:54 浏览: 88
树的顺序指的是树中节点的排列顺序。在一棵树中,每个节点都有一个父节点和若干个子节点,节点之间的连接称为边。树的顺序可以按照不同的方式进行排列,比如先序遍历、中序遍历、后序遍历等。先序遍历是指先访问根节点,然后按照从左到右的顺序依次访问每个子树;中序遍历是指先访问左子树,然后访问根节点,最后访问右子树;后序遍历是指先访问左右子树,最后访问根节点。不同的遍历方式可以得到不同的树的顺序。
相关问题
Assume the postorder of binary tree T is RELATIONDB, the in order of T is REILTABOND,then the preorder of T will be
To determine the preorder of T, we need to first identify the root of the binary tree. In an inorder traversal of a binary tree, the nodes to the left of the root correspond to the left subtree of the root, and the nodes to the right of the root correspond to the right subtree of the root.
From the given inorder sequence REILTABOND, we can see that the root of the binary tree T is "L".
Next, we need to determine the left and right subtrees of the root. Since the postorder traversal of T is RELATIONDB, we know that the last element "B" is the root of the right subtree of "L". To find the root of the left subtree of "L", we need to look for the last element in the postorder sequence that appears before "B" in the inorder sequence.
From the inorder sequence REILTABOND, we can see that the last element before "B" is "T". Therefore, "T" is the root of the left subtree of "L".
Now we can construct the preorder traversal of T by starting at the root "L" and recursively traversing the left and right subtrees in preorder.
The preorder traversal of T is:
- Root: L
- Left subtree: T, R, E, I, L, A
- Right subtree: B, O, N, D
Therefore, the preorder of T is LTRIELABOND.
What is the correct description of a binary tree?
A binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child. The left child node contains a value less than or equal to its parent node, while the right child node contains a value greater than or equal to its parent node. The nodes in a binary tree can be traversed in different ways such as in-order, pre-order, and post-order. Binary trees are commonly used in computer science for efficient data storage, searching, and sorting algorithms.