RGPV • AIML • IV Semester

AL402 Analysis & Design of Algorithms Notes

Complete unit-wise study material for AL402 Analysis & Design of Algorithms for RGPV Artificial Intelligence and Machine Learning IV Semester students.

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Subject Code AL402
Subject Analysis & Design of Algorithms
Semester IV Semester
Branch Artificial Intelligence & Machine Learning
Study Material

AL402 Unit-Wise Notes

Study all five units covering algorithm complexity, divide and conquer, greedy strategy, dynamic programming, backtracking, branch and bound, NP-complete problems, approximation and parallel algorithms.

01

Algorithm Analysis & Divide and Conquer

Algorithms and complexity, time and space complexity, asymptotic notation, recurrence relations, divide and conquer, binary search, merge sort, quick sort, heap sort, Strassen's matrix multiplication and code optimization techniques.

02

Greedy Strategy

Greedy method, optimal merge patterns, Huffman coding, minimum spanning trees, knapsack problem, job sequencing with deadlines, single-source shortest path and correctness proofs of greedy algorithms.

03

Dynamic Programming

Concept of dynamic programming and problems based on this approach including 0/1 knapsack, multistage graph, reliability design and Floyd-Warshall algorithm.

04

Backtracking & Branch and Bound

Backtracking, 8-queens problem, Hamiltonian cycle, graph colouring, branch and bound, travelling salesman problem, lower bound theory and introduction to parallel algorithms.

05

Advanced Algorithms & Complexity

Advanced tree and graph algorithms, NP-hard and NP-complete problems, approximation algorithms, data stream algorithms and design and complexity of parallel algorithms.

RGPV Curriculum

AL402 Analysis & Design of Algorithms Syllabus

Complete unit-wise syllabus for RGPV Artificial Intelligence and Machine Learning IV Semester.

Unit 1 — Algorithm Analysis & Divide and Conquer

Definitions of algorithms and complexity, Time and Space Complexity; Time space tradeoff, various bounds on complexity, Asymptotic notation, Recurrences and Recurrences solving techniques, Introduction to divide and conquer technique, examples: binary search, merge sort, quick sort, heap sort, Strassen's matrix multiplication etc.

Code tuning techniques: Loop Optimization, Data Transfer Optimization, Logic Optimization etc.

Unit 2 — Greedy Strategy

Study of Greedy strategy, examples of greedy method like optimal merge patterns, Huffman coding, minimum spanning trees, knapsack problem, job sequencing with deadlines, single source shortest path algorithm etc. Correctness proof of Greedy algorithms.

Unit 3 — Dynamic Programming

Concept of dynamic programming, problems based on this approach such as 0/1 knapsack, multistage graph, reliability design, Floyd-Warshall algorithm etc.

Unit 4 — Backtracking, Branch & Bound

Backtracking concept and its examples like 8 queen's problem, Hamiltonian cycle, Graph colouring problem etc. Introduction to branch & bound method, examples of branch and bound method like travelling salesman problem etc.

Meaning of lower bound theory and its use in solving algebraic problem, introduction to parallel algorithms.

Unit 5 — Advanced Algorithms

Advanced tree and graph algorithms, NP-hard and NP-complete problems, Approximations Algorithms, Data Stream Algorithms, Introduction to design and complexity of Parallel Algorithm.

AL402 Analysis & Design of Algorithms Notes for RGPV AIML

AL402 Analysis & Design of Algorithms introduces students to techniques used for designing, analysing and comparing efficient algorithms. The subject covers complexity analysis, divide and conquer, greedy algorithms, dynamic programming, backtracking and advanced computational problems.

Students can access all five units of AL402 in one place and prepare according to the RGPV syllabus using unit-wise handwritten notes.

  • Time and Space Complexity
  • Asymptotic Notation and Recurrences
  • Divide and Conquer Algorithms
  • Binary Search, Merge Sort and Quick Sort
  • Heap Sort and Strassen's Matrix Multiplication
  • Greedy Algorithms and Huffman Coding
  • Minimum Spanning Tree and Shortest Path
  • Dynamic Programming and 0/1 Knapsack
  • Floyd-Warshall Algorithm
  • Backtracking and 8-Queens Problem
  • Branch and Bound and Travelling Salesman Problem
  • NP-Hard and NP-Complete Problems
  • Approximation and Data Stream Algorithms
  • Parallel Algorithm Design

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