DCA6209 DATA STRUCTURES AND ALGORITHMS SEPTEMBER 2025

Description

SESSION	JULY/SEPTEMBER 2025
PROGRAM	MASTER OF COMPUTER APPLICATIONS (MCA)
SEMESTER	II
COURSE CODE & NAME	DCA6209 DATA STRUCTURES AND ALGORITHMS

 

 

Set-I

 

 

Q1. Describe different notations used to express algorithm complexity and explain the rate of growth of algorithms with examples.    5+5     

Ans 1.

Notations Used to Express Algorithm Complexity

In data structures and algorithms, complexity notation is used to evaluate and compare the efficiency of algorithms. Since the actual execution time varies according to hardware and system conditions, complexity notations provide a machine-independent way of estimating how an algorithm grows with input size. These notations help programmers choose the most efficient algorithm, especially for applications where speed and resource utilization are critical.

Big-O Notation

Big-O notation is the most commonly used notation to describe the upper bound of an

 

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Q2. Explain the operations of insertion and deletion in a linked list and describe how memory allocation and garbage collection are handled. 5+5           

Ans 2.

Insertion and Deletion in a Linked List

Linked lists are dynamic data structures made up of nodes, each containing data and a pointer to the next node. Unlike arrays, linked lists do not require contiguous memory, making insertion and deletion operations more flexible. Understanding these operations is essential for efficient memory management and manipulation of dynamic data.

Insertion Operation

Insertion in a linked list can happen at the beginning, at the end, or at any specific position.

 

 

Q3. What is a Binary Search Tree (BST)? Explain the operations of insertion, deletion, and searching in a BST. 3+7       

Ans 3.

Meaning of Binary Search Tree

A Binary Search Tree (BST) is a specialized binary tree structure where each node follows a specific ordering property. The left subtree of a node contains values smaller than the node’s key, while the right subtree contains values greater than the key. This arrangement ensures efficient searching, insertion, and deletion operations.

Characteristics

A BST maintains sorted data in a hierarchical form, allowing operations to be performed in O(log n) time on average. However, in the worst case—when the tree becomes skewed—the

 

 

Set-II

 

Q4. Describe the working of the First-Fit and Buddy System methods for dynamic memory allocation and storage release. 10    

Ans 4.

Working of First-Fit and Buddy System Methods for Dynamic Memory Allocation and Storage Release

Dynamic memory allocation is essential for efficient program execution because it allows processes to request and release memory during runtime. Operating systems use different allocation strategies to ensure memory is utilized efficiently while minimizing fragmentation. Two widely studied approaches are the First-Fit method and the Buddy System. Both aim to allocate memory blocks to processes based on availability, but they differ significantly in

 

 

Q5. Explain the concept of Hashing and discuss different collision resolution methods and dynamic hashing techniques. 10           

Ans 5.

Concept of Hashing, Collision Resolution Methods, and Dynamic Hashing Techniques

Hashing is a fundamental technique used in data structures to store and retrieve data efficiently. Instead of searching through an entire dataset, hashing uses a hash function to compute an index (hash value) that determines where an element should be stored. Ideally, each key maps to a unique location, enabling constant-time access. However, because hash tables have limited size, two or more keys may generate the same index, leading to a collision. Effective collision resolution and dynamic resizing techniques are crucial for maintaining performance.

Concept of Hashing

A hash function transforms keys into numerical values that correspond to indexes in the hash

 

 

Q6. Discuss various file organization methods such as Sequential, Indexed Sequential, and Direct Files with examples.10   

Ans 6.

File Organization Methods: Sequential, Indexed Sequential, and Direct Files

File organization refers to the arrangement of records within a file so they can be stored, retrieved, and updated efficiently. The choice of organization affects system performance, search time, and data maintenance. Three widely used file organization methods are Sequential, Indexed Sequential, and Direct (Hashed) Files. Each serves different application needs based on access patterns and storage constraints.

Sequential File Organization

Concept and Working

In sequential organization, records are stored one after another in a sorted or unsorted order.