Tradeoff between space and time complexity, Data Structure & Algorithms

Assignment Help:

We might sometimes seek a tradeoff among space & time complexity. For instance, we may have to select a data structure which requires a lot of storage to reduce the computation time. Thus, the programmer has to make a judicious choice from an informed point of view. The programmer have to have some verifiable basis based on which a data structure or algorithm can be selected Complexity analysis provides such a basis.

We will learn regarding various techniques to bind the complexity function. Actually, our goal is not to count the exact number of steps of a program or the exact amount of time needed for executing an algorithm. In theoretical analysis of algorithms, this is common to estimate their complexity in asymptotic sense that means to estimate the complexity function for reasonably large length of input 'n'. Omega notation ?, big O notation, and theta notation Θ are utilized for this purpose. To measure the performance of an algorithm underlying the computer program, our approach would be depending on a concept called as asymptotic measure of complexity of algorithm. There are notations such as big O, Θ, ? for asymptotic measure of growth functions of algorithms. The most common is big-O notation. The asymptotic analysis of algorithms is frequently used since time taken to execute an algorithm varies along with the input 'n' and other factors that might differ from computer to computer and from run to run. The essences of these asymptotic notations are to bind the growth function of time complexity along with a function for sufficiently large input.


Related Discussions:- Tradeoff between space and time complexity

Define a b-tree, Define a B-Tree Justas AVL trees are balanced binary s...

Define a B-Tree Justas AVL trees are balanced binary search trees, B-trees are balanced M-way search trees. A B-Tree of order M is either the empty tree or it is an M-way searc

Explain the method of overlapping and intersecting, Overlapping or Interse...

Overlapping or Intersecting A polygon overlaps or intersects the current background if any of its sides cuts the edges of the viewport as depicted at the top right corner of th

Depth first search, DEPTH FIRST SEARCH (DFS) The approach adopted into ...

DEPTH FIRST SEARCH (DFS) The approach adopted into depth first search is to search deeper whenever possible. This algorithm frequently searches deeper through visiting unvisite

Relative and direct files, Each data record contains a fixed place in a rel...

Each data record contains a fixed place in a relative file. Each record ought to have associated with it in integer key value which will help identify this slot. Therefore, this ke

Sorting algorithm, Sorting Algorithm A sorting algorithm is an algorit...

Sorting Algorithm A sorting algorithm is an algorithm which puts elements of a list in a certain order. The most-used orders are numerical order and lexicographical order. Eff

Graphs, floyd warshall algorithm

floyd warshall algorithm

Implement a min-heap, Description A heap is an efficient tree-based data...

Description A heap is an efficient tree-based data structure that can be used as a priority queue. Recall that the abstract data type of a priority queue has the following opera

What is a data structure, Question 1 What is a data structure? Discuss bri...

Question 1 What is a data structure? Discuss briefly on types of data structures Question 2 Explain the insertion and deletion operation of linked list in detail Question

HUFFMAN CODING, Ask question 1. Indicate whether each of the following prop...

Ask question 1. Indicate whether each of the following properties is true for every Huffman code. a. The codewords of the two least frequent symbols have the same length. b. The

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