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In computer science, tree traversal (also known as tree search and walking the tree) is a form of graph traversal and refers to the process of visiting (e.g. retrieving, updating, or deleting) each node in a tree data structure, exactly once. Such traversals are classified by the order in which the nodes are visited.
In computing, a threaded binary tree is a binary tree variant that facilitates traversal in a particular order. An entire binary search tree can be easily traversed in order of the main key, but given only a pointer to a node, finding the node which comes next may be slow or impossible. For example, leaf nodes by definition have no descendants ...
For binary trees there is additionally in-ordering and reverse in-ordering. For example, when searching the directed graph below beginning at node A, the sequence of traversals is either A B D B A C A or A C D C A B A (choosing to first visit B or C from A is up to the algorithm).
left-child right-sibling binary tree also termed first-child next-sibling binary tree, doubly chained tree, or filial-heir chain; Lempel–Ziv–Welch (LZW) level-order traversal; Levenshtein distance; lexicographical order; linear; linear congruential generator; linear hash; linear insertion sort; linear order; linear probing; linear probing ...
Fig. 1: A binary search tree of size 9 and depth 3, with 8 at the root. In computer science, a binary search tree (BST), also called an ordered or sorted binary tree, is a rooted binary tree data structure with the key of each internal node being greater than all the keys in the respective node's left subtree and less than the ones in its right subtree.
A tree sort is a sort algorithm that builds a binary search tree from the elements to be sorted, and then traverses the tree so that the elements come out in sorted order. [1] Its typical use is sorting elements online : after each insertion, the set of elements seen so far is available in sorted order.
The tree is viewed as a directed graph that contains two directed edges for each edge in the tree. The tree can then be represented as a Eulerian circuit of the directed graph, known as the Euler tour representation (ETR) of the tree. The ETT allows for efficient, parallel computation of solutions to common problems in algorithmic graph theory ...
"A Tutorial on Binary Space Partitioning Trees". BSP trees presentation; Another BSP trees presentation; A Java applet that demonstrates the process of tree generation; A Master Thesis about BSP generating; BSP Trees: Theory and Implementation; BSP in 3D space; Graphics Gems V: A Walk through BSP Trees