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Data Structures Basics

  • Structure and Problem Solving
  • Data structures
  • Data structure Operations
  • Algorithm: complexity
  • Time- space tradeoff.

Linked List

  • IntroductionLinked lists
  • Representation of linked lists in Memory
  • Traversing a linked list
  • Searching a linked list
  • Memory allocation and Garbage collection
  • Insertion into linked list
  • Deletion from a linked list
  • Types of linked list

Stack and Queue

  • Introduction
  • Array Representation of Stack
  • Linked List Representation of stack
  • Application of stack
  • Queue
  • Array Representation of Queue
  • Linked List Representation of Queue

Mathematical Functions and Notations Functions and Notations

  • Modular Arithmetic / Mod Function
  • Mathematical Expectation in Average Case Analysis
  • Efficiency of an Algorithm
  • Well Known Asymptotic Functions and Notations
  • Analysis of Algorithms – Simple Examples

Well Known Sorting Algorithms

  • Insertion sort
  • Bubble sort
  • Selection sort
  • Shell sort
  • Heap sort

Trees

  • Definitions and Concepts
  • Operations on Binary Trees
  • Representation of binary tree
  • Conversion of General Trees to Binary Trees
  • Sequential and Other Representations of Trees
  • Tree Traversal.

Graphs

  • Matrix Representation of Graphs
  • List Structures
  • Other Representations of Graphs
  • Breadth First Search, Depth First Search
  • Spanning Trees.

Directed Graphs Types of Directed Graphs

  • Binary Relation As a Digraph; Euler’s Digraphs
  • Matrix Representation of Digraphs

Elementary Algorithms

  • Notation for Expressing Algorithms
  • Role and Notation for Comments
  • Example of an Algorithm
  • Problems and Instances
  • Characteristics of an Algorithm
  • Building Blocks of Algorithms
  • Procedure and Recursion
  • Recursion
  • Outline of Algorithms
  • Specification Methods for Algorithms.

Dynamic Programming Dynamic Programming Strategy

  • Multistage Graphs
  • All Pair Shortest Paths
  • Travelling Salesman Problems.

Backtracking Strategy

  • 8-Queens Problem
  • Sum of Subsets
  • Knapsack Problem.

Applications of Graphs

  • Topological Sorting
  • Shortest-Path Algorithms
  • Weighted Shortest Paths
  • Dijkstra’s Algorithm
  • Minimum spanning tree- Prim’s Algorithm
  • Introduction to NP-Completeness.

Searching and Sorting Techniques

  • Sorting Techniques
  • Bubble sort
  • Merge sort
  • Selection sort
  • Heap sort
  • Insertion Sort
  • Searching Techniques
  • Sequential Searching
  • Binary Searching
  • Search Trees.

Divide and Conquer Divide and Conquer Strategy

  • Binary Search
  • Max. And Min.
  • Merge sort
  • Quick sort

Greedy Method Greedy Method Strategy

  • Optimistic Storage on Tapes
  • Knapsack Problem
  • Job Sequencing with Deadlines
  • Optimal Merge Pattern
  • Single Source Shortlist Paths.

Best Six 6 Months / 6 Weeks Industrial Training Institute / Company / Center in Chandigarh / Mohali / Bathinda / Punjab

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