Search results
Results from the WOW.Com Content Network
The static optimality problem is the optimization problem of finding the binary search tree that minimizes the expected search time, given the + probabilities. As the number of possible trees on a set of n elements is ( 2 n n ) 1 n + 1 {\displaystyle {2n \choose n}{\frac {1}{n+1}}} , [ 2 ] which is exponential in n , brute-force search is not ...
A Binary Search Tree is a node-based data structure where each node contains a key and two subtrees, the left and right. For all nodes, the left subtree's key must be less than the node's key, and the right subtree's key must be greater than the node's key.
The Garsia–Wachs algorithm is named after Adriano Garsia and Michelle L. Wachs, who published it in 1977. [1] [3] Their algorithm simplified an earlier method of T. C. Hu and Alan Tucker, [1] [4] and (although it is different in internal details) it ends up making the same comparisons in the same order as the Hu–Tucker algorithm. [5]
In the static predecessor problem, the set of elements does not change, but in the dynamic predecessor problem, insertions into and deletions from the set are allowed. [ 1 ] The predecessor problem is a simple case of the nearest neighbor problem, and data structures that solve it have applications in problems like integer sorting .
terminal (see Steiner tree) terminal node; ternary search; ternary search tree (TST) text searching; theta; threaded binary tree; threaded tree; three-dimensional; three-way merge sort; three-way radix quicksort; time-constructible function; time/space complexity; top-down radix sort; top-down tree automaton; top-node; topological order ...
A splay tree is a binary search tree with the additional property that recently accessed elements are quick to access again. Like self-balancing binary search trees, a splay tree performs basic operations such as insertion, look-up and removal in O(log n) amortized time.
Static search structures are designed for answering many queries on a fixed database; dynamic structures also allow insertion, deletion, or modification of items between successive queries. In the dynamic case, one must also consider the cost of fixing the search structure to account for the changes in the database.
The cost of a search is modeled by assuming that the search tree algorithm has a single pointer into a binary search tree, which at the start of each search points to the root of the tree. The algorithm may then perform any sequence of the following operations: Move the pointer to its left child. Move the pointer to its right child.