Splay trees, Data Structure & Algorithms

Assignment Help:

Addition of new records in a Binary tree structure always occurs as leaf nodes, which are further away from the root node making their access slower. If this new record is to be accessed frequently, then we cannot afford to spend much time in attainment of it but would require it to be positioned close to the root node. It would call for rebuilding or readjustment of the tree to attain the desired shape. But, this process of rebuilding the tree every time as the preferences for the records change is tedious and time consuming. There has to be some measure so that the tree adjusts itself automatically as the frequency of accessing the records changes. Such a self-adjusting tree is the Splay tree.

Splay trees are self-adjusting binary search trees in which every access for insertion or retrieval of any node, lifts that node all the way up to become the root, pushing the other nodes out of the way to make room for this new root of the modified tree. Hence, the frequently accessed nodes will frequently be lifted up and remain around the root position; whereas the most infrequently accessed nodes would move farther and farther away from the root.

This process of readjusting may at times create a highly imbalanced splay tree, wherein a single access may be extremely expensive. But over a long sequence of accesses, these expensive cases may be averaged out by the less expensive ones to produce excellent results over a long sequence of operations. The analytical tool utilized for this purpose is the Amortized algorithm analysis. This will be discussed fully in the following sections.


Related Discussions:- Splay trees

Structural Induction, Let a be a well-formed formula. Let c be the number o...

Let a be a well-formed formula. Let c be the number of binary logical operators in a. (Recall that ?, ?, ?, and ? are the binary logical operators). Let s be the number of proposit

What is a spanning tree of a graph, What is a Spanning tree of a graph? ...

What is a Spanning tree of a graph? A Spanning Tree is any tree having of vertices of graph tree and some edges of graph is known as a spanning tree.

Deletion of a node from an avl tree, For AVL trees the deletion algorithm i...

For AVL trees the deletion algorithm is a little more complicated as there are various extra steps involved in the deletion of node. If the node is not a leaf node, then it contain

B – trees, B-trees are special m-ary balanced trees utilized in databases s...

B-trees are special m-ary balanced trees utilized in databases since their structure allows records to be added, deleted & retrieved with guaranteed worst case performance. A B-

How can the third dimension be displayed on the screen, How can the third d...

How can the third dimension be displayed on the screen The main problem in visualization is the display of three-dimensional objects and scenes on two-dimensional screens. How

Program segment for quick sort, Illustrates the program segment for Quick s...

Illustrates the program segment for Quick sort. It uses recursion. Program 1: Quick Sort Quicksort(A,m,n) int A[ ],m,n { int i, j, k; if m { i=m; j=n+1; k

Linked list, how to creat atm project by using linked list?

how to creat atm project by using linked list?

Tower of hanoi problem., Write an algorithm for getting solution to the Tow...

Write an algorithm for getting solution to the Tower's of Hanoi problem. Explain the working of your algorithm (with 4 disks) with appropriate diagrams. Ans: void Hanoi(int

Define dynamic programming, Define Dynamic Programming  Dynamic  progra...

Define Dynamic Programming  Dynamic  programming  is  a  method  for  solving  problems  with  overlapping  problems.  Typically, these sub problems arise from a recurrence rel

Define prims algorithm, Define Prim's Algorithm Prim's  algorithm  is  ...

Define Prim's Algorithm Prim's  algorithm  is  a  greedy  algorithm  for  constructing  a  minimum  spanning  tree  of  a  weighted linked graph. It works by attaching to a bef

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd