B.TechSemester 52022-23Design Analysis Of AlgorithmKCS503

Design Analysis Of Algorithm (KCS503) - AKTU Question Paper 2022-23

B.Tech · Semester 5 · Free PDF Download

This is the official AKTU Design Analysis Of Algorithm Previous Year Question Paper for B.Tech Semester 5, academic session 2022-23. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 5
Session:2022-23
University:AKTU / UPTU

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Questions Asked in 2022-23

Design Analysis Of Algorithm (KCS503) — complete question paper

Section AAttempt all questions in brief. 2x10 = 20
  • a
    Discuss the basic steps in the complete development of an a lgorithm
  • b
    Explain and compare best and worst time complexity of Quick Sort
  • c
    Discuss Skip lis t and its operations
  • d
    Discuss the properties of binomial trees
  • e
    Illustrate the applicatio ns of Graph Coloring Problem
  • f
    Define principle of optimality
  • g
    Differentiate Backtracking and Branch and Bound Techniques
  • h
    Discuss backtracking problem solving approach. (i) Define NP, NP hard and NP complete. Give example of each. (j) Explain Randomized algorithms
Section BAttempt any three of the following: 10x3 = 30
  • a
    Explain Merge sort algorithm and sort the following sequenc e {23, 11, 5, 15, 68,31, 4, 17} using merge sort
  • b
    What are the various differe nces in Binomial and Fibonacci Heap? Explain
  • c
    Prove that if the weights on the edge of the connected undi rected graph are distinct then there is a unique Minimum Spanning Tree. Give a n example in this regard. Also discuss Kruskal’s Minimum Spanning Tree in detail
  • d
    Discuss LCS algorithm to comp ute Longest Common Subsequence of two givenstrings and time complexity analysis
  • e
    Explain and Write the Naïv e-String string matching algorithm: Suppose the given pattern p= aa b and given text T = a c a a b c. Apply Naïve-String Mat ching algorithm on above Pattern (P) and Text (T) to find the number of occurrences of P in T
Section CAttempt any one part of the following: 10*1 = 10
  • a
    Examine the following recurrence relation
  • b
    Explain algorithm for counti ng sort. Illustrate the operation of counting sort on the following array: A={0,1,3,0,3,2,4,5,2,4,6,2,2,3}
  • a
    Discuss the various cases for insertion of key in red-black tree for given sequence of key in an empty red-black tree- {15,13,12,16,19,23,5,8}. Also show that a red-black tree with n internal nodes has height at most 2lg(n+1)
  • b
    Explain and write an algorith m for union of two binomial heaps and write its time complexity
  • a
    Explain “greedy algorithm” Write its pseudo code to prove that fractional Knapsack problem has a greedy-choice property
  • b
    What are single source short est paths? Write down Dijkstra’s algorithm for it
  • a
    What is the sum of subsets problem? Let w={5,7,10,12,15,18,20} and m=35. Find all possible subsets of w that sum to m using recursive backtracking algorithm for it. Draw the portion of the state-space tree that is generated
  • b
    Illustrate n queen’s problem . Examine 4 queen’s problem usi ng back tracking method
  • a
    What is string matching algorithm? Explain Rabin-Karp method with examples
  • b
    Explain approximation algorit hm. Explore set cover problem using approximation algorithm

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

Repeated Questions — KCS503

Questions that appeared in more than one session, found by comparing 3 years of Design Analysis Of Algorithm papers (2021-22, 2022-23, 2023-24)

2x

Discuss the properties of binomial trees

Appeared in: 2022-23 · 2023-24

2x

Explain Merge sort algorithm and sort the following sequenc e {23, 11, 5, 15, 68,31, 4, 17} using merge sort

Appeared in: 2021-22 · 2022-23

2x

Discuss the various cases for insertion of key in red-black tree for given sequence of key in an empty red-black tree- {15,13,12,16,19,23,5,8}. Also show that a red-black tree with n internal nodes has height at most 2lg(n+1)

Appeared in: 2021-22 · 2022-23

2x

Explain approximation algorit hm. Explore set cover problem using approximation algorithm

Appeared in: 2021-22 · 2022-23