Design and Analysis of Algorithms Last Updated : 22 Feb, 2024 Improve Improve Like Article Like Save Share Report Design and Analysis of Algorithms is a fundamental aspect of computer science that involves creating efficient solutions to computational problems and evaluating their performance. DSA focuses on designing algorithms that effectively address specific challenges and analyzing their efficiency in terms of time and space complexity. Complete Guide On Complexity Analysis Table of Content What is meant by Algorithm Analysis? Why Analysis of Algorithms is important? Types of Algorithm Analysis Basics on Analysis of Algorithms Asymptotic Notations Some Advance topics Complexity Proofs Basics on Analysis of Algorithms: What is algorithm and why analysis of it is important? Asymptotic Notation and Analysis (Based on input size) in Complexity Analysis of Algorithms Worst, Average and Best Case Analysis of Algorithms Types of Asymptotic Notations in Complexity Analysis of Algorithms How to Analyse Loops for Complexity Analysis of Algorithms How to analyse Complexity of Recurrence Relation Introduction to Amortized Analysis Asymptotic Notations: Analysis of Algorithms | Big-O analysis Difference between Big Oh, Big Omega and Big Theta Examples of Big-O analysis Difference between big O notations and tilde Analysis of Algorithms | Big – Ω (Big- Omega) Notation Analysis of Algorithms | Big – Θ (Big Theta) Notation Some Advance topics: Types of Complexity Classes | P, NP, CoNP, NP hard and NP complete Can Run Time Complexity of a comparison-based sorting algorithm be less than N logN? Why does accessing an Array element take O(1) time? What is the time efficiency of the push(), pop(), isEmpty() and peek() operations of Stacks? Complexity Proofs: Proof that Clique Decision problem is NP-Complete Proof that Independent Set in Graph theory is NP Complete Prove that a problem consisting of Clique and Independent Set is NP Complete Prove that Dense Subgraph is NP Complete by Generalisation Prove that Sparse Graph is NP-Complete Like Article Suggest improvement Next Complete Guide On Complexity Analysis - Data Structure and Algorithms Tutorial Share your thoughts in the comments Add Your Comment Please Login to comment...