BITM Data Structure and Algorithms

Data types. Data structure and Abstract date type (ADT). Operations performed in data structure. Introduction to Algorithms. Computational complexity. Asymptotic notations: Big-O, Big-Ω and Big-Ө Notation. Properties of Big-O, Ω and Ө Notation. Finding Asymptotic Complexity: Examples. The Best, Average, and Worst-Case analysis.

Basic Concept. List and ADT. Array Implementation of Lists. Linked List. Types of Linked List: Singly Linked List, Doubly Linked List, Circular Linked List. Basic operations in Linked List: Node Creation, Node Insertion and Deletion from Beginning, End and Specified Position. Skip List. Lists in java.util: LinkedList, ArrayList.

Basic Concept of Stack. Stack as an ADT. Stack Operations. Stack Implementation (Array and Linked List). Stack Applications. Conversion from infix to postfix/prefix expression. Evaluation of postfix/prefix expressions. Stacks in java.util.

Basic Concept of Queue. Queue as an ADT. Primitive Operations in Queue. Linear Queue. Queue Implementation (Array and Linked List). Circular Queue. Priority Queue. Queue Applications.

Recursive Definitions. Method Calls and Recursion Implementation. Direct Recursion. Indirect Recursion. Tail Recursion. Nested Recursion. Excessive Recursion. Factorial. Fibonacci Sequence. GCD. Tower of Hanoi (TOH) Problem. Recursion Vs Iteration.

Introduction of Trees. Applications of Tree. Tree as an ADT. Binary Trees, and Types of Binary Trees. Implementing Binary Trees. Tree Traversal: in-order Pre-order, Post-order. Binary Search Tree Operation: Insertion, Deletion, Searching. AVL Trees. Expression Trees. Operations on Expression Trees. Heap. Huffman Algorithm. Self-Adjusting Trees. Multiway Search Tree: B-Tree.

Introduction of graph. Graph as an ADT. Graph Representation. Graph Traversals: BFT, DFT. Greedy Algorithm. Shortest Path Problem: Dijkstra Algorithm. All-to-All Shortest Path Problem: Floyd Warshall Algorithm. Spanning Trees and Minimum Spanning Tree: Kruskal and Prims Algorithm. Topological Sort.

Introduction. Internal and External Sorting. Sorting Algorithms: Bubble Sort, Insertion Sort, Selection Sort, Heap Sort, Quicksort, Mergesort, Radix Sort. Efficiency of sorting algorithms. Sorting in java.util.

Introduction. linear search. binary search. efficiency of searching algorithms. Hashing. Hash Functions: Division, Folding, Mid-Square Function, Extraction. Collision Resolution technique. Hashing in java.util.