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

Numerical - algorithm, Q. What is the smallest value of n such that an algo...

Q. What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine.    A n

A linear list of elements in which deletion can be done, A linear list of e...

A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is called as a   Queue.

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

Sparse matrix, How sparse matrix stored in the memory of a computer?

How sparse matrix stored in the memory of a computer?

Advanced trees, Linked list representations contain great advantages of fle...

Linked list representations contain great advantages of flexibility on the contiguous representation of data structures. However, they contain few disadvantages also. Data structur

State cmy model, CMY Model  The cyan, magenta, yellow (CMY) colour mode...

CMY Model  The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard

Graph search using iterative deepening, Prove that uniform cost search and ...

Prove that uniform cost search and breadth- first search with constant steps are optimal when used with the Graph-Search algorithm (see Figure). Show a state space with varying ste

Declaring a two dimensional array, Declaring a two dimensional array   A...

Declaring a two dimensional array   A two dimensional array is declared same to the way we declare a one-dimensional array except that we state the number of elements in both di

State about the pseudocode, State the Introduction to pseudocode No spe...

State the Introduction to pseudocode No specific programming language is referred to; development of algorithms by using pseudocode uses generic descriptions of branching, loop

Test whether a binary tree is a binary search tree, Q. Write down an algori...

Q. Write down an algorithm to test whether a Binary Tree is a Binary Search Tree.              A n s . The algorithm to check whether a Binary tree is as Binary Search

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